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.

6 days ago · 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 …

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.

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 …

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

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 …

Nov 1, 2025 · A triangle always has an incircle, whose centre (the incentre) is the point of concurrence of the angle bisectors. A polygon that has an incircle is called a circumscribed …