The forest 2

Probability Level 5

Brian is standing at a point AA on the circumference of a perfectly circular forest that has an area of 6400π6400\pi sq mi. Using his all knowing brain, he walks in a perfectly straight line towards his friends, camping at point BB chosen uniformly and at random (and independently of AA somewhere along the circumference of the woods. If the expected distance he travels to reach his friends can be represented as aπ\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

×

Problem Loading...

Note Loading...

Set Loading...