# Expected value of triangle area

Calculus Level 2

Three points are chosen at random on the circumference of a circle with radius 1. Find the expected value, $$v$$, of the area of the triangle formed by the three points.

If $$v = \dfrac{a}{b \pi}$$, where $$a$$ and $$b$$ are coprime positive integers, submit $$a+b$$.

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