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  1. Incircle and excircles - Wikipedia

    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.

  2. Incircle -- from Wolfram MathWorld

    Jan 20, 2026 · 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 …

  3. Incircle of a Triangle - Math Open Reference

    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.

  4. Incircle - Art of Problem Solving

    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 …

  5. Incircles and Excircles | Brilliant Math & Science Wiki

    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, …

  6. Incircle Definition (Illustrated Mathematics Dictionary)

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

  7. Incircle Definition - Honors Geometry Key Term | Fiveable

    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 of triangles, …

  8. Incircle Formulae | What is Incircle Formulae -Examples ... - Cuemath

    Incircle Formulae in Trigonometry with concepts, examples and solutions. FREE Cuemath material for JEE,CBSE, ICSE for excellent results!

  9. Incircle of a Triangle: Concepts, Formulas & Problem Solving

    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.

  10. Trigonometry/Circles and Triangles/The Incircle - Wikibooks

    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. Its centre, the incentre of the triangle, is …