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 …

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

Simply bisect each of the angles of the triangle; the point where they meet is the center of the circle! Then use a compass to draw the circle. But what else did you discover doing this? The …

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 …

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.

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 …

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 …

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 triangle's incenter, …

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.