Definitions For Incircle

Verb

{{en-verb}} {{archaic form of, en, encircle}}

Noun

INCIRCLE (plural INCIRCLEs) (geometry) A circle within a polygon, especially a triangle, that is tangent to each side.

Usage notes

A triangle always has an incircle, whose centre (the incentre) is the point of concurrence of the angle bisectors. A polygon that has an incircle is called a circumscribed polygon or tangential polygon and is said to be inscribable.

Synonyms

circle tangent to all sides inscribed circle

Related terms

incentre / incenter inradius insphere

Translations

Bulgarian: вписана окръжност, f Chinese: : Cantonese: 內接圓 (noi6 zip3 jyun4), 內切圓 (noi6 cit3 jyun4) : Mandarin: 內接圓, tr=nèijiēyuán, 內切圓, tr=nèiqiēyuán Finnish: sisään piirretty ympyrä, sisäympyrä French: cercle inscrit, m German: Inkreis, m Greek: εγγεγραμμένος, m, alt=εγγεγραμμένος κύκλος Hungarian: beírt kör Japanese: 内接円, tr=naisetsuen, sc=Jpan Korean: 내접원, sc=Kore Portuguese: círculo inscrito, m Swedish: invändig tangeringscirkel, c Vietnamese: đường tròn nội tiếp

Etymology

in + circle

See also

excircle circumcircle

Anagrams

circline {{C, en, Curves, Circle}}