# Area of Intersecting Circles

## Calculate area of intersecting circles

The area of intersecting circles can be calculated as

Thanks to Eric Eberly for providing this information.

If radii *r _{1}*,

*r*and distance

_{2}*d*between the centers are given - then the angles

*α*and

_{1}*α*can be calculated as

_{2}*α _{1} = acos[(d^{2} + r_{1}^{2} - r_{2}^{2})/(2 d r_{1})] *

*α _{2} = acos[(d^{2} + r_{2}^{2} - r_{1}^{2})/(2 d r_{2})]*