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Sag. A*

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## Homework Statement

Suppose that in sherwood forest, the average radius of a tree is equal to R= 1m and the average number of trees per unit area sigma = 0.005 m^-2 . If Robin Hood shoots an arrow in a random direction , how far , on average, will it travel before it strikes a tree?

## Homework Equations

Since in the problem robin is shooting in a random direction, I am assuming that the area in question is circular. and the area of a circle is A = pi X r^2.

## The Attempt at a Solution

Im not sure how to tie in the area with the distance is question. I've tried integrating over a circle ( sin, cos) but I don't know if I should solve for the radius some how. Or if i should find a max distance and a min distance somehow and average them. Also the radius of the trees thing is throwing me off. ... Any insight and help would be great