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.

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 …

Dec 22, 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 …

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

Incircle (also Inscribed Circle) Definition: A circle inside a triangle or regular polygon that touches every side of it at one point.

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 …

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.

An incircle is the largest circle that can fit inside a triangle, touching all three sides at exactly one point each. This circle is important because it provides a way to understand various properties …

May 19, 2024 · The incircle of a triangle is the unique circle that has the three sides of the triangle as tangents. It is the largest circle lying entirely within a triangle.

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 I of the incircle is called the incenter, and the radius r of the circle is called …