Langimage
English

inradius

|in-ra-di-us|

C2

/ɪnˈreɪdiəs/

radius of an inscribed circle

Etymology
Etymology Information

'inradius' is formed from the Latin prefix 'in-' meaning 'in, on, into' and the Latin noun 'radius' meaning 'ray' or 'spoke'.

Historical Evolution

'radius' is a Latin word that entered English as 'radius'; the compound 'inradius' is a modern mathematical formation combining 'in-' + 'radius' to denote a radius directed inward (the radius of an inscribed circle).

Meaning Changes

Originally the components literally meant 'in' + 'ray/spoke'; over time the compound came to be used specifically in geometry to mean 'the radius of an inscribed circle.'

Meanings by Part of Speech

Noun 1

the radius of an inscribed circle (incircle) of a polygon or triangle; the distance from the center of the incircle to a side.

The inradius of a triangle can be found using the formula r = A/s, where A is the area and s is the semiperimeter.

Synonyms

inscribed radiusincircle radiusin-circle radius

Antonyms

circumradius

Last updated: 2025/12/17 14:51