# Intersection area of circle with Vesica piscis

What is the intersection area between a circle $C_1(a_1, |a_1,a_2|)$ and a vesica piscis made by two points $(a_2,a_3)$, where $a_1,a_2, a_3$ are three points with polar corrdiantes $(r_1,\theta_1),(r_2,\theta_2),(r_3,\theta_3)$, respectively.

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Never knew there was a name for that! –  Ron Gordon Apr 11 '13 at 18:27
it may have an arbitrary shape!! –  Noureddine Apr 11 '13 at 19:29