{"group":{"group":{"id":98300,"name":"Basic Geometry","lockable":false,"created_at":"2026-08-23T20:35:44.000Z","updated_at":"2026-08-24T15:26:40.000Z","description":"Simple Geometry. Nothing else.","is_default":false,"created_by":5158730,"badge_id":62,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-08-24T00:00:00.000Z","image_id":7280,"published":true,"community_created":true,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSimple Geometry. Nothing else.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 360px 10.5px; transform-origin: 360px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 336px 10.5px; text-align: left; transform-origin: 336px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSimple Geometry. Nothing else.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","published_at":"2026-08-24T15:26:40.000Z"},"current_player":null},"problems":[{"id":61453,"title":"Not yet geometry(triangles)","description":"Write the formula of the area of a triangle(A) that has a height of h and a base of b.\r\nTip: Write the formula as a string.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite the formula of the area of a triangle(A) that has a height of h and a base of b.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: Write the formula as a string.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formula(x)\r\n  \r\nend","test_suite":"%%\r\ny_correct = 'b*h/2';\r\nassert(isequal(formula(),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:37:27.000Z","updated_at":"2026-08-30T16:50:12.000Z","published_at":"2026-08-24T14:37:27.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite the formula of the area of a triangle(A) that has a height of h and a base of b.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: Write the formula as a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61454,"title":"Not yet geometry(equilateral triangle)","description":"Type the formula of the area(A) of an equilateral triangle with a side of a.\r\nTip: As a string.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area(A) of an equilateral triangle with a side of a.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: As a string.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formula(x)\r\n     \r\nend","test_suite":"%%\r\ny_correct = 'a^2*sqrt(3)/4'\r\nassert(isequal(formula(),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:44:08.000Z","updated_at":"2026-08-30T16:55:39.000Z","published_at":"2026-08-24T14:44:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area(A) of an equilateral triangle with a side of a.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: As a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61455,"title":"Not yet geometry(square, rectangle and trapezium)","description":"Type the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\r\nTips:1)As a string A with space between the formulas.\r\n2)First the width and then the length of the rectangle.\r\n3)First the small base, then the big base and then the height of the trapezium.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 66px; transform-origin: 469px 66px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTips:1)As a string A with space between the formulas.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2)First the width and then the length of the rectangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3)First the small base, then the big base and then the height of the trapezium.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formulas(x)\r\n  \r\nend","test_suite":"%%\r\ny_correct = 'Asq=a^2 Arec=w*l Atr=(b+B)*h/2'\r\nassert(isequal(formulas(),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:54:38.000Z","updated_at":"2026-08-29T15:02:18.000Z","published_at":"2026-08-24T14:54:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTips:1)As a string A with space between the formulas.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2)First the width and then the length of the rectangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e3)First the small base, then the big base and then the height of the trapezium.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61456,"title":"Not yet geometry(Circles)","description":"Type the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\r\nTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formulacirc(x)\r\n    \r\nend","test_suite":"%%\r\ny_correct = 'Ac=pi*r^2 As=theta*r^2/2';\r\nassert(isequal(formulacirc(),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T20:15:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2026-08-24T20:15:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T15:03:31.000Z","updated_at":"2026-08-29T15:00:39.000Z","published_at":"2026-08-24T15:03:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61457,"title":"Almost done with the \"tutorial\"(Perimeter of a circle)","description":"Find the perimeter of a circle(P) if radius r is given.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 10.5px; transform-origin: 469px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the perimeter of a circle(P) if radius r is given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function P = PER(r)\r\n  \r\nend","test_suite":"%%\r\nr = 1/pi;\r\ny_correct = 2;\r\nassert(isequal(PER(r),y_correct))\r\n%%\r\nr = 4\r\ny_correct = 8*pi;\r\nassert(isequal(PER(r),y_correct))\r\n%%\r\nr = 8\r\ny_correct = 16*pi;\r\nassert(isequal(PER(r),y_correct))\r\n%%\r\nr = randi(1,15);\r\ny_correct = 2*r*pi;\r\nassert(isequal(PER(r),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T20:18:38.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2026-08-24T20:18:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T15:14:54.000Z","updated_at":"2026-08-29T14:59:10.000Z","published_at":"2026-08-24T15:14:54.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the perimeter of a circle(P) if radius r is given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61446,"title":"Test your geometry knowledge!(simple)","description":"We have the following shape and you need to:\r\n1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\r\n2) Find the area of the semi-circle where DC is the diameter.(A_sc)\r\n3)Find the perimeter of the whole shape.(P_s)\r\n4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\r\n\r\nExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 551.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 275.9px; transform-origin: 469px 275.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe have the following shape and you need to:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) Find the area of the semi-circle where DC is the diameter.(A_sc)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3)Find the perimeter of the whole shape.(P_s)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 341.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 170.9px; text-align: left; transform-origin: 445px 170.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"630\" height=\"336\" style=\"vertical-align: baseline;width: 630px;height: 336px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [A_tr A_sc P_s P_sc] = AREAS_AND_PERIMETERS(x,y)\r\n    \r\nend","test_suite":"%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(3, 4);\r\nassert(abs(a1 - 2.16) \u003c 1e-4);\r\nassert(abs(a2 - (9*pi/8)) \u003c 1e-4);\r\nassert(abs(p1 - (11 + 1.5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (3 + 1.5*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(6, 8);\r\nassert(abs(a1 - 8.64) \u003c 1e-4);\r\nassert(abs(a2 - (9*pi/2)) \u003c 1e-4);\r\nassert(abs(p1 - (22 + 3*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (6 + 3*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(5, 12);\r\nassert(abs(a1 - (750/169)) \u003c 1e-4);\r\nassert(abs(a2 - (25*pi/8)) \u003c 1e-4);\r\nassert(abs(p1 - (29 + 2.5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (5 + 2.5*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(10, 10);\r\nassert(abs(a1 - 25) \u003c 1e-4);\r\nassert(abs(a2 - (25*pi/2)) \u003c 1e-4);\r\nassert(abs(p1 - (30 + 5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (10 + 5*pi)) \u003c 1e-4);\r\n\r\n%%\r\nfor i = 1:10\r\n    rx = rand() * 99 + 1;\r\n    ry = rand() * 99 + 1;\r\n    \r\n    [a1, a2, p1, p2] = AREAS_AND_PERIMETERS(rx, ry);\r\n    \r\n    exp1 = (rx^3 * ry) / (2 * (rx^2 + ry^2));\r\n    exp2 = (pi * rx^2) / 8;\r\n    exp3 = rx + 2*ry + (pi * rx)/2;\r\n    exp4 = rx + (pi * rx)/2;\r\n    \r\n    assert(abs(a1 - exp1) \u003c 1e-4);\r\n    assert(abs(a2 - exp2) \u003c 1e-4);\r\n    assert(abs(p1 - exp3) \u003c 1e-4);\r\n    assert(abs(p2 - exp4) \u003c 1e-4);\r\nend","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T12:02:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2026-08-23T11:59:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T10:40:32.000Z","updated_at":"2026-08-29T12:34:23.000Z","published_at":"2026-08-23T11:59:11.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe have the following shape and you need to:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2) Find the area of the semi-circle where DC is the diameter.(A_sc)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e3)Find the perimeter of the whole shape.(P_s)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"336\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"630\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61447,"title":"Geometry time!(easy)","description":"Suppose that we have a square and its Area is given. Then we have the following circle (with center O) which has the same radius(r) as the length of one side of the square. The angle (Θ=Theta) is given in radians. You are requested to find the length of the arc (L ) that belongs to the angle Θ.\r\n\r\n\r\nTo put it more simple: Find AB.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 534.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 267.4px; transform-origin: 469px 267.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 31.5px; text-align: left; transform-origin: 445px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSuppose that we have a square and its Area is given. Then we have the following circle (with center O) which has the same radius(r) as the length of one side of the square. The angle (Θ=Theta) is given in radians. You are requested to find the length of the arc (L ) that belongs to the angle Θ.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 372.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 186.4px; text-align: left; transform-origin: 445px 186.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"400\" height=\"367\" style=\"vertical-align: baseline;width: 400px;height: 367px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eTo put it more simple: Find AB\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = FIND_ARC_LENGTH(A,theta)\r\n    \r\nend","test_suite":"%%\r\nA = 9;\r\ntheta = 2;\r\ny_correct = 6;\r\nassert(isequal(FIND_ARC_LENGTH(A,theta),y_correct))\r\n%%\r\nA = 16;\r\ntheta  = 5;\r\ny_correct = 20;\r\nassert(isequal(FIND_ARC_LENGTH(A,theta),y_correct))\r\n%%\r\nrand_area = 0.1 + (1000 - 0.1) * rand();\r\nrand_theta = 0.1 + (2*pi - 0.1) * rand();\r\np = double(int8(1)) / double(int8(2));\r\nexpected_L = exp(p * log(rand_area)) * rand_theta;\r\nuser_L = FIND_ARC_LENGTH(rand_area, rand_theta);\r\nassert(abs(user_L - expected_L) \u003c 1e-5, 'Wrong Answer! Try writing the general mathematical formula.');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T13:35:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2026-08-23T13:34:46.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T13:16:18.000Z","updated_at":"2026-08-29T13:22:48.000Z","published_at":"2026-08-23T13:34:46.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose that we have a square and its Area is given. Then we have the following circle (with center O) which has the same radius(r) as the length of one side of the square. The angle (Θ=Theta) is given in radians. You are requested to find the length of the arc (L ) that belongs to the angle Θ.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"367\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"400\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTo put it more simple: Find AB\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61448,"title":"Gometry time2!(easy to medium)","description":"Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\r\n         \r\nFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\r\n2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(https://en.wikipedia.org/wiki/Triangular_number)\r\n3) Theta will be in degrees this time!\r\nTip: L = perimeter.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 31.5px; text-align: left; transform-origin: 445px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 191.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 95.9px; text-align: left; transform-origin: 445px 95.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"202\" height=\"149\" style=\"vertical-align: baseline;width: 202px;height: 149px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Triangular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); row-rule-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Triangular_number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3) Theta will be in degrees this time!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: L = perimeter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp)\r\n  \r\nend","test_suite":"%%\r\nA_tp = 6;\r\ntheta = 360;\r\ny_correct = 2 + 2*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nA_tp = 12;\r\ntheta = 720;\r\ny_correct = 4 + 8*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nfor i = 1:10\r\n    theta_test = randi([10, 350]);          \r\n    A_tp_test = randi([12, 600]);           \r\n    ref_fn = @(t,a) (a/6)*(2 + t*pi/180);\r\n    expected_L = ref_fn(theta_test, A_tp_test);\r\n    user_L = FIND_THE_PERIMETER_OF_THE_SECTION(theta_test, A_tp_test);\r\n    assert(abs(user_L - expected_L) \u003c 1e-6, ...\r\n        sprintf('Failed for theta = %g and A_tp = %g', theta_test, A_tp_test));\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T20:35:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T17:05:01.000Z","updated_at":"2026-08-29T15:18:40.000Z","published_at":"2026-08-23T17:05:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"149\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"202\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e         \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"186\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Triangular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Triangular_number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3) Theta will be in degrees this time!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: L = perimeter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61449,"title":"Geometry time3!(Medium)","description":"This time we have two circles! The shape is given below:\r\n\r\nYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\r\nExplanation(if needed):O1O2 is the line that connects the centers of both circles.\r\nTips:1) You can draw a line somewhere on this shape if you want.\r\n2) The circles are tangent.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 407.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 203.9px; transform-origin: 469px 203.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis time we have two circles! The shape is given below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 206.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 103.4px; text-align: left; transform-origin: 445px 103.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"309\" height=\"201\" style=\"vertical-align: baseline;width: 309px;height: 201px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eExplanation(if needed):O1O2 is the line that connects the centers of both circles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eTips:1) You can draw a line somewhere on this shape if you want.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2) The circles are tangent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [A1,A2] = find_the_circles_area(a,D)\r\n  \r\nend","test_suite":"%%\r\na = 7;\r\nD = 6;\r\nA1_exp = (pi*(7 + sqrt(13))^2)/4;\r\nA2_exp = (pi*(7 - sqrt(13))^2)/4;\r\n[A1_act, A2_act] = find_the_circles_area(a, D);\r\nassert(abs(A1_act - A1_exp) \u003c 1e-4, 'A1 is wrong.');\r\nassert(abs(A2_act - A2_exp) \u003c 1e-4, 'A2 is wrong.');\r\n%%\r\nD_val = randi([5, 50]);\r\na_val = D_val + randi([1, 20]);\r\nd = sort(roots([1, -2*a_val, D_val^2]), 'descend');\r\nA1_ref = (pi/4) * d(1)^2;\r\nA2_ref = (pi/4) * d(2)^2;\r\n[A1_user, A2_user] = find_the_circles_area(a_val, D_val);\r\nassert(abs(A1_user - A1_ref) \u003c 1e-4, 'A1 is wrong.');\r\nassert(abs(A2_user - A2_ref) \u003c 1e-4, 'A2 is wrong.');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T22:22:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T22:20:50.000Z","updated_at":"2026-08-27T13:35:31.000Z","published_at":"2026-08-23T22:20:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis time we have two circles! The shape is given below:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExplanation(if needed):O1O2 is the line that connects the centers of both circles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips:1) You can draw a line somewhere on this shape if you want.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2) The circles are 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61450,"title":"Geometry time 4!(Medium to hard)","description":"Given the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\r\nFurther explanation: The angle EDC(z) is also given.\r\nTip: If you want, assume that D has the same coordinates as the coordinates of the original.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 301.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 150.9px; transform-origin: 469px 150.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 211.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 105.9px; text-align: left; transform-origin: 445px 105.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"279\" height=\"185\" style=\"vertical-align: baseline;width: 279px;height: 185px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: The angle EDC(z) is also given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: If you want, assume that D has the same coordinates as the coordinates of the original.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = find_rec_area(AE,DE,CE,z)\r\n  \r\nend","test_suite":"%%\r\nw_test = 10;\r\nh_test = 5;\r\nDE_val = 6;\r\nz_val = 45;\r\nxE_test = -DE_val * cosd(z_val);\r\nyE_test = -DE_val * sind(z_val);\r\nAE_val = sqrt(xE_test^2 + (h_test - yE_test)^2);\r\nCE_val = sqrt((w_test - xE_test)^2 + yE_test^2);\r\nexpected_A = w_test * h_test;\r\nuser_A = find_rec_area(AE_val, DE_val, CE_val, z_val);\r\nassert(abs(user_A - expected_A) \u003c 1e-4, 'Test 1 Failed: Incorrect area for fixed test case.');\r\nfor i = 1:5\r\n    w_rand = randi([10, 50]);\r\n    h_rand = randi([10, 50]);\r\n    DE_rand = randi([2, 8]);\r\n    z_rand = randi([15, 75]);\r\n    xE_rand = -DE_rand * cosd(z_rand);\r\n    yE_rand = -DE_rand * sind(z_rand);\r\n    AE_rand = sqrt(xE_rand^2 + (h_rand - yE_rand)^2);\r\n    CE_rand = sqrt((w_rand - xE_rand)^2 + yE_rand^2);\r\n    expected_area = w_rand * h_rand;\r\n    actual_area = find_rec_area(AE_rand, DE_rand, CE_rand, z_rand);\r\n    assert(abs(actual_area - expected_area) \u003c 1e-4, sprintf('Random Test %d Failed.', i));\r\nend\r\n%% \r\ncode = fileread('find_rec_area.m');\r\nhas_regexp = ~isempty(strfind(code, 'regexp')) || ~isempty(strfind(code, 'regexprep'));\r\nassert(~has_regexp, 'FORBIDDEN: You are not allowed to use regexp or regexprep in your code!');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T11:37:28.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T09:42:53.000Z","updated_at":"2026-08-29T22:20:15.000Z","published_at":"2026-08-24T09:42:53.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"185\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"279\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther explanation: The angle EDC(z) is also given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: If you want, assume that D has the same coordinates as the coordinates of the original.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD 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time 5! (Hard)","description":"In the following shape you are requested to find the radius of the circle(r):\r\n\r\nFurther explanation: 1) ABCD and pink shape are squares.\r\n2)The area of the small square (A) will be given. \r\nNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 314.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 157.4px; text-align: left; transform-origin: 445px 157.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"308\" height=\"309\" style=\"vertical-align: baseline;width: 308px;height: 309px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eFurther explanation: 1) ABCD and pink shape are squares.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2)The area of the small square (A) will be given. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = circle_radius(A)\r\n    \r\nend","test_suite":"%%\r\nA = 16;\r\ny_correct = 2.3431;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA_test = rand() * 499 + 1; \r\nr_user = circle_radius(A_test);\r\nk = 2 - sqrt(2); \r\nr_expected = sqrt(A_test) * k;\r\nassert(abs(r_user - r_expected) \u003c 1e-6, ...\r\n    'Test failed for random area input A = %g.', A_test);\r\n%%\r\nA = 25;\r\ny_correct = 2.9289;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 121;\r\ny_correct = 6.4437;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 10000;\r\ny_correct = 58.5786;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T15:20:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T11:30:44.000Z","updated_at":"2026-08-29T21:48:36.000Z","published_at":"2026-08-24T11:30:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"308\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFurther explanation: 1) ABCD and pink shape are squares.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2)The area of the small square (A) will be given. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNO TIPS. GOOD 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61452,"title":"Geometry time 6!(Extremely hard)","description":"We have two circles. One small(C1) that is inside a bigger one (C2). C1 has a radius R1 and C2 has a radius R2. C1 is internally tangened to C2. On the perimeter of C1 lies a point (V). You are asked to find the coordinates of V(x,y) while C1 is moving alongside the perimeter of C2 without slipping.\r\n\r\nTip: Assume that the starting angle is at 0 degrees and that V is located at (-R1,0) at that angle.\r\nALSO KEEP IN MIND THAT: 'C1 MUST BE SMALLER THAN C2'.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 519.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 259.9px; transform-origin: 469px 259.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 31.5px; text-align: left; transform-origin: 445px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe have two circles. One small(C1) that is inside a bigger one (C2). C1 has a radius R1 and C2 has a radius R2. C1 is internally tangened to C2. On the perimeter of C1 lies a point (V). You are asked to find the coordinates of V(x,y) while C1 is moving alongside the perimeter of C2 without slipping.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 357.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 178.9px; text-align: left; transform-origin: 445px 178.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"376\" height=\"352\" style=\"vertical-align: baseline;width: 376px;height: 352px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eTip: Assume that the starting angle is at 0 degrees and that V is located at (-R1,0) at that angle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eALSO KEEP IN MIND THAT: 'C1 MUST BE SMALLER THAN C2'.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x,y] = find_coordinates(R1,R2,theta)\r\n     \r\nend","test_suite":"%% \r\nR1_test = randi([2, 15]);\r\nR2_test = R1_test + randi([1, 20]); \r\ntheta_test = 2 * pi * rand();\r\n[x_user, y_user] = find_coordinates(R1_test, R2_test, theta_test);\r\nd = R2_test - R1_test;\r\nA = [cos(theta_test), -sin(theta_test); sin(theta_test), cos(theta_test)];\r\nB = [cos((R2_test/R1_test)*theta_test), sin((R2_test/R1_test)*theta_test); ...\r\n    -sin((R2_test/R1_test)*theta_test), cos((R2_test/R1_test)*theta_test)];\r\nC_vec = A * [-d/sqrt(2); d/sqrt(2)];\r\nV_rel = B * [0; -R1_test];\r\nexpected = C_vec + V_rel;\r\ntol = 1e-5;\r\nassert(abs(x_user - expected(1)) \u003c tol \u0026\u0026 abs(y_user - expected(2)) \u003c tol, ...\r\n    'Test failed for R1 = %g, R2 = %g, theta = %g rad.', R1_test, R2_test, theta_test);\r\n%%\r\nR1_invalid = 10;\r\nR2_invalid = 9;\r\ntheta_dummy = 0;\r\ntry\r\n    find_coordinates(R1_invalid, R2_invalid, theta_dummy);\r\n    error('Test Failed: The function should have thrown an error when R1 \u003e R2.');\r\ncatch ME\r\n    expected_msg = 'C1 MUST BE SMALLER THAN C2';\r\n    assert(strcmp(ME.message, expected_msg), ...\r\n        'Test Failed: Error message was \"%s\" instead of \"%s\".', ME.message, expected_msg);\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T15:21:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T12:45:18.000Z","updated_at":"2026-08-26T15:39:43.000Z","published_at":"2026-08-24T12:45:18.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe have two circles. One small(C1) that is inside a bigger one (C2). C1 has a radius R1 and C2 has a radius R2. C1 is internally tangened to C2. On the perimeter of C1 lies a point (V). You are asked to find the coordinates of V(x,y) while C1 is moving alongside the perimeter of C2 without slipping.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"352\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"376\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip: Assume that the starting angle is at 0 degrees and that V is located at (-R1,0) at that angle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eALSO KEEP IN MIND THAT: 'C1 MUST BE SMALLER THAN C2'.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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