incircle

[/ˈɪnsɜːrkəl/]
nounpl: incircles
círculo inscrito
1. A circle drawn inside a polygon, particularly a triangle, that is tangent to all sides of the polygon
The incircle of a triangle touches all three sides at exactly one point each.
O círculo inscrito de um triângulo toca os três lados em exatamente um ponto cada um.
2. In geometry, the largest circle that can fit inside a given polygon
To find the incircle of a polygon, you must calculate the inradius.
Para encontrar o círculo inscrito de um polígono, você deve calcular o raio inscrito.
This is a technical mathematical term used universally in geometry education. Both Brazilian and Portuguese educational systems use 'círculo inscrito' as the standard terminology. The term is primarily encountered in academic and professional mathematical contexts rather than in everyday language.
Synonyms / Sinônimos
inscribed circleinner circleinsphere (in 3D)
Antonyms / Antônimos
circumcirclecircumscribed circleexcircle

Regional Variations

General Brazilian Portuguese
círculo inscrito
standard mathematical term used in Brazilian geometry textbooks
Portugal
círculo inscrito
same as Brazilian Portuguese; consistent mathematical terminology
Academic English
incircle
preferred term in geometry and mathematics education in English-speaking countries

Related Words

inradiusinscribetangentpolygontriangleincenter
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