Grazing

(From the 'problem of the month' at Missouri State University)

A goat tethered at a rope of length L = 10m grazes an area = πL² (a disc centered at the post)
Here the problem is a little harder as there is a wall of height h = 2m between the goat and the post !
(the goat can't go over the wall, the wall is "endless" (length > 2L), of neglectable width)

The post is right at the bottom of the wall, on the opposite side to the goat. Grazed area ?    

Solution

The post is at distance d = 1m of the wall.    

Solution

Details.

 

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