Excircle

/ˈɛksɜːrkəl/ noun

Definition

In geometry, a circle that touches one side of a triangle on the outside and the extensions of the other two sides.

Etymology

From Latin 'ex-' (outside) + English 'circle,' describing a circle that lies outside the main triangle, contrasting with the 'incircle' that sits inside.

Kelly Says

Every triangle has three excircles (one for each side)—they're like the triangle's protective bubbles on the outside! Architects and engineers use excircle properties when designing structures with specific angular relationships.

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