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Tethered Bull Problem

Let a bull be tethered to a silo whose horizontal Cross-Section is a Circle of Radius $R$ by a leash of length $L$. Then the Area which the bull can graze if $L\leq R\pi$ is

A={\pi L^2\over 2}+{L^3\over 3R}.


Hoffman, M. E. ``The Bull and the Silo: An Application of Curvature.'' Amer. Math. Monthly 105, 55-58, 1998.

© 1996-9 Eric W. Weisstein