# The forest 2

Brian is standing at a point $$A$$ on the circumference of a perfectly circular forest that has an area of $$6400\pi$$ sq mi. Using his all knowing brain, he walks in a perfectly straight line towards his friends, camping at point $$B$$ chosen uniformly and at random (and independently of $$A$$ somewhere along the circumference of the woods. If the expected distance he travels to reach his friends can be represented as $$\frac{a}{\pi}$$, find a (in miles).

This problem was inspired by a slight misinterpretation of my other previously ambiguous problem.

This is part of the set Trevor's Ten

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