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goat grazing problems

goat grazing problems is the plural of goat grazing problem.

Meaning of goat grazing problem

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?

Questions about goat grazing problems

What is goat grazing problems the plural of?
Goat grazing problems is the plural of goat grazing problem.

Words near goat grazing problems in the dictionary

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

Source and license

Adapted from Wiktionary: goat grazing problems (page history and authors); 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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