"goat grazing problem" meaning in English

See goat grazing problem in All languages combined, or Wiktionary

Noun

Forms: goat grazing problems [plural]
Head templates: {{en-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? Categories (topical): Algebra, Circle, Geometry, Higher-dimensional geometry, Trigonometry
    Sense id: en-goat_grazing_problem-en-noun-tgy~GCuz Disambiguation of Algebra: 47 53 Disambiguation of Circle: 53 47 Disambiguation of Geometry: 47 53 Disambiguation of Higher-dimensional geometry: 45 55 Disambiguation of Trigonometry: 49 51 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 48 52 Disambiguation of Pages with 1 entry: 53 47 Disambiguation of Pages with entries: 48 52
  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? Categories (topical): Algebra, Circle, Geometry, Higher-dimensional geometry, Trigonometry
    Sense id: en-goat_grazing_problem-en-noun-G4t1msXj Disambiguation of Algebra: 47 53 Disambiguation of Circle: 53 47 Disambiguation of Geometry: 47 53 Disambiguation of Higher-dimensional geometry: 45 55 Disambiguation of Trigonometry: 49 51 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Sphere Disambiguation of English entries with incorrect language header: 48 52 Disambiguation of Pages with 1 entry: 53 47 Disambiguation of Pages with entries: 48 52 Disambiguation of Sphere: 31 69
The following are not (yet) sense-disambiguated
Synonyms: goat problem

Inflected forms

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    {
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        "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?"
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      "word": "goat problem"
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        "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?"
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Download raw JSONL data for goat grazing problem meaning in English (1.5kB)

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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