noun ·Rare ·Advanced level

Definitions

Noun

1. 1
   An escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie.

   "Also since the circle of inversion cuts both excircles orthogonally, each excircle inverts into itself."

Example

More examples

"Find the radius of the excircle of the triangle."

Etymology

From ex- + circle.

Related phrases

ex tangential

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.