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Return of the Grazing Goat in '\(n\)' Dimensions

Generalizations of the problem: A goat is tethered to the edge of a disc shaped field of radius \(r\). The goat's rope is of length \(kr\). If the field is \(n\)-dimensional, what fraction of it can the goat reach, and what happens as \(n\) approaches infinity?

Old Node ID: 
758
Author(s): 
Mark D. Meyerson (U. S. Naval Academy)
Publication Date: 
Wednesday, August 3, 2005
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
November, 1984
Subject(s): 
Calculus
Advanced Calculus
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
28.00
Rating Sum: 
84.00
Rating Average: 
3.00
Author (old format): 
Mark D. Meyerson
Applicable Course(s): 
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Wednesday, February 1, 2006
Average: 3 (28 votes)

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