FInd area of overlapping circles using circlem

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Allyson Jennings
Allyson Jennings 2020-11-6
回答： Amanpreetsingh Arora 2020-11-10
I am trying to find the area of intersecting circles using circlem. I use the code below but there is no intersection between the two circles. Does anyone have any advice on how to calculate the area?
figure
ax = usamap('conus');
set(ax, 'Visible', 'off')
latlim = getm(ax, 'MapLatLimit');
lonlim = getm(ax, 'MapLonLimit');
states = shaperead('usastatehi',...
'UseGeoCoords', true, 'BoundingBox', [lonlim', latlim']);
geoshow(ax, states, 'FaceColor', [1 1 1])
intersect(circlem(26.912,-97.074, 58.323,'facecolor','red'),circlem(26.842,-96.98,58.323,'facecolor','red'))

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回答（1 个）

Amanpreetsingh Arora
The "intersect" function returns common points in 2 inputs arrays and therefore is not useful for your case.
I believe that you are using the following "circlem" function from File Exchange. It seems that this function is only for plotting circles on map.
https://in.mathworks.com/matlabcentral/fileexchange/48122-circlem
If you want to find overlapping areas between 2 circles, then the following discussion might help.
https://in.mathworks.com/matlabcentral/answers/86975-finding-overlap-between-multiple-circles
Basically, you will have to check whether the circles have partial, complete or no overlap and then calculate the intersection area accordingly. For the case of no overlap and complete overlap, it is 0 and area of smaller circle respectively. For partial overlap, the area is sum of two segments in the intersecting region.

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