"circumradius" meaning in English

See circumradius in All languages combined, or Wiktionary

Noun

Forms: circumradii [plural]
Etymology: circum- + radius Etymology templates: {{prefix|en|circum|radius}} circum- + radius Head templates: {{en-noun|circumradii}} circumradius (plural circumradii)
  1. (mathematics) For a given geometric shape, the radius of the smallest circle or sphere into which it will fit. Categories (topical): Mathematics Related terms: circumdiameter, circumscribe, inradius
    Sense id: en-circumradius-en-noun-H1SDFsSe Categories (other): English entries with incorrect language header, English terms prefixed with circum- Topics: mathematics, sciences

Inflected forms

Download JSON data for circumradius meaning in English (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "circum",
        "3": "radius"
      },
      "expansion": "circum- + radius",
      "name": "prefix"
    }
  ],
  "etymology_text": "circum- + radius",
  "forms": [
    {
      "form": "circumradii",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "circumradii"
      },
      "expansion": "circumradius (plural circumradii)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with circum-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The circumradius of the unit square is one-half the square root of two."
        }
      ],
      "glosses": [
        "For a given geometric shape, the radius of the smallest circle or sphere into which it will fit."
      ],
      "id": "en-circumradius-en-noun-H1SDFsSe",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometric",
          "geometric"
        ],
        [
          "shape",
          "shape"
        ],
        [
          "radius",
          "radius"
        ],
        [
          "circle",
          "circle"
        ],
        [
          "sphere",
          "sphere"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a given geometric shape, the radius of the smallest circle or sphere into which it will fit."
      ],
      "related": [
        {
          "word": "circumdiameter"
        },
        {
          "word": "circumscribe"
        },
        {
          "word": "inradius"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "circumradius"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "circum",
        "3": "radius"
      },
      "expansion": "circum- + radius",
      "name": "prefix"
    }
  ],
  "etymology_text": "circum- + radius",
  "forms": [
    {
      "form": "circumradii",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "circumradii"
      },
      "expansion": "circumradius (plural circumradii)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "circumdiameter"
    },
    {
      "word": "circumscribe"
    },
    {
      "word": "inradius"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English nouns with irregular plurals",
        "English terms prefixed with circum-",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The circumradius of the unit square is one-half the square root of two."
        }
      ],
      "glosses": [
        "For a given geometric shape, the radius of the smallest circle or sphere into which it will fit."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometric",
          "geometric"
        ],
        [
          "shape",
          "shape"
        ],
        [
          "radius",
          "radius"
        ],
        [
          "circle",
          "circle"
        ],
        [
          "sphere",
          "sphere"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a given geometric shape, the radius of the smallest circle or sphere into which it will fit."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "circumradius"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.