---
tag: 07DFG5JYPT
kind: concept
name: Incircle
aliases: [inscribed-circle]
msc: [51M04]
sources:
  - url: https://en.wikipedia.org/wiki/Incircle_and_excircles
    locator: lead section
same_as:
  wikidata: Q10615255
  wikipedia: Incircle and excircles
---

## Summary

The incircle of a triangle is the largest circle inside the triangle. It touches each of the three sides at one point. Its centre is the incentre and its radius is the inradius.