In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides.

Dec 3, 2025 · An incircle is an inscribed circle of a polygon, i.e., a circle that is tangent to each of the polygon's sides. The center of the incircle is called the incenter, and the radius of the circle is called …

An incircle of a convex polygon is a circle which is inside the figure and tangent to each side. Every triangle and regular polygon has a unique incircle, but in general polygons with 4 or more sides (such …

How to construct (draw) the incircle of a triangle with compass and straightedge or ruler. The three angle bisectors of any triangle always pass through its incenter.

Illustrated definition of Incircle: The largest circle that fits inside a polygon and is tangent to (touches without crossing) all its sides....

The greatest circle that may fit within a triangle in geometry is known as the incircle or inscribed circle, which touches (or is tangent to) all three sides of the triangle.

The incircle is the inscribed circle of the triangle that touches all three sides. The inradius r r is the radius of the incircle. Now we prove the statements discovered in the introduction. In a triangle A B C ABC, …