101.17 Goats and birds

A goatherd wishes to tether a goat to a point on the edge of a circular field,in such a way that it has access to exactly half the area of the field. How longshould the rope be? This is usually called the ‘goat problem’. although thecreature in question could equally well be a dog, a bull or an alpa...

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Veröffentlicht in:Mathematical gazette 2017-07, Vol.101 (551), p.296-300
Hauptverfasser: JAMESON, GRAHAM, JAMESON, NICHOLAS
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description A goatherd wishes to tether a goat to a point on the edge of a circular field,in such a way that it has access to exactly half the area of the field. How longshould the rope be? This is usually called the ‘goat problem’. although thecreature in question could equally well be a dog, a bull or an alpaca. Details of this problem are presented.
doi_str_mv 10.1017/mag.2017.71
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source JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; Cambridge Journals - CAUL Collection
subjects Mathematical problems
title 101.17 Goats and birds
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