Problem 57550. Compute the area of the shoemaker’s knife

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a\"/></w:customXmlPr><w:r><w:t>a</w:t></w:r></w:customXml><w:r><w:t> with two semicircular “bites” of diameters </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"b\"/></w:customXmlPr><w:r><w:t>b</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a-b\"/></w:customXmlPr><w:r><w:t>a-b</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function to compute the area </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Ak\"/></w:customXmlPr><w:r><w:t>A_k</w:t></w:r></w:customXml><w:r><w:t> of this shape as well as the area </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Ac\"/></w:customXmlPr><w:r><w:t>A_c</w:t></w:r></w:customXml><w:r><w:t> of a circle with diameter </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" 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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 399.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 199.85px; transform-origin: 407px 199.85px; vertical-align: baseline; "><div 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; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span 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: 271.633px 8px; transform-origin: 271.633px 8px; unicode-bidi: normal; "><span style="">A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">a</span><span 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: 97.625px 8px; transform-origin: 97.625px 8px; unicode-bidi: normal; "><span style=""> with two semicircular “bites” of diameters </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">b</span><span 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: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" alt="a-b" style="width: 35px; height: 18px;" width="35" height="18"></span><span 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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; "><span style="">. </span></span></div><div style="block-size: 43px; 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; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span 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: 114.608px 8px; transform-origin: 114.608px 8px; unicode-bidi: normal; "><span style="">Write a function to compute the area </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="Ak" style="width: 17px; height: 20px;" width="17" height="20"></span><span 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: 103.85px 8px; transform-origin: 103.85px 8px; unicode-bidi: normal; "><span style=""> of this shape as well as the area </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="Ac" style="width: 16.5px; height: 20px;" width="16.5" height="20"></span><span 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: 77.4px 8px; transform-origin: 77.4px 8px; unicode-bidi: normal; "><span style=""> of a circle with diameter </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">c</span><span 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: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; "><span style="">, the length of the line tangent to the two smaller semicircles and touching the edge of the largest semicircle.</span></span></div><div style="block-size: 266.7px; 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; perspective-origin: 384px 133.35px; text-align: left; transform-origin: 384px 133.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 417px;height: 261px" src="data:image/png;base64,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" 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Last Solution submitted on Mar 17, 2023

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Solution 10276735

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ChrisR on 16 Jan 2023

Regarding the comment in your code: why not? It follows from your other solution.

Christian Schröder on 17 Jan 2023

Two mistakes on my part, one while deriving the formula for Ac, one while drawing an example on paper to check my result. I was unlucky in that both mistakes cancelled out, as it were.

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Problem 57550. Compute the area of the shoemaker’s knife

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Problem 57550. Compute the area of the shoemaker’s knife

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