How to find the overall visible area of overlapping 3 or more Octagons?

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Geometry

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Hi.

Please refer this image

I have 3 Octagons of same size. I know the coordinates of their centers and their side length. How can I calculate the overall area? (Shaded area in the image)

In the image linked above, the area comes out to be 1343.73, calculated via a CAD software. I'd like to know how to calculate that manually? I need to make an algorithm.

Edit: Forgot to mention orientation. These octagons will always orient themselves just like in the image. That is, if 2 sides will always be parallel to X axis, 2 sides will always be perpendicular to the X axis and other 4 will be at 45 degrees with the X axis.

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adison024

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Posted: 5 years ago
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