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Area of Intersecting Circles

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The area of intersecting circles can be calculated as

Thanks to Eric Eberly for providing this information.

If radii r1, r2 and distance d between the centers are given - then the angles α1 and α2 can be calculated as

α1 = acos[(d2 + r12 - r22)/(2 d r1)]

α2 = acos[(d2 + r22 - r12)/(2 d r2)]

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