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goat grazing problem

goat grazing problem noun: the problem: given a field of radius 1, and a goat tied to a point on the edge of said field; how long a rope should the goat be tied to, so that the goat has access to exactly half of the field? Equivalently: given a unit circle C and a point P on the rim of C, what is the value of r such that exactly half of the area within C, is within distance r of point P?

goat grazing problem: the problem: given a field of radius 1, and a goat tied to a point on the edge of said field; how...
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Noun

goat grazing problem (plural goat grazing problems)

  1. The problem: given a field of radius 1, and a goat tied to a point on the edge of said field; how long a rope should the goat be tied to, so that the goat has access to exactly half of the field? Equivalently: given a unit circle C and a point P on the rim of C, what is the value of r such that exactly half of the area within C, is within distance r of point P?
  2. The same problem generalized to any number of dimensions: given a unit n-sphere (n-dimensional hypersphere) S, and a point P on the edge of S, what is r such that exactly one-half of the space (content) within S, is within distance r of P?

Synonyms of goat grazing problem

Forms of goat grazing problem

pluralgoat grazing problems

Questions about goat grazing problem

What does goat grazing problem mean?
Goat grazing problem means the problem: given a field of radius 1, and a goat tied to a point on the edge of said field; how long a rope should the goat be tied to, so that the goat has access to exactly half of the field? Equivalently: given a unit circle C and a point P on the rim of C, what is the value of r such that exactly half of the area within C, is within distance r of point P?
What part of speech is goat grazing problem?
Goat grazing problem is a noun.
What is the plural of goat grazing problem?
The plural of goat grazing problem is goat grazing problems.

Words near goat grazing problem in the dictionary

  1. Goat Fell
  2. goat fig
  3. goat figs
  4. goat file
  5. goat files
  6. goat grazing problem
  7. goat grazing problems
  8. Goat Island
  9. goat milk
  10. goat milks
  11. goat moth

Source and license

Adapted from Wiktionary: goat grazing problem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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