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. The center of the incircle is a triangle center called the triangle's incenter. [1]
Incircle -- from Wolfram MathWorld
Oct 28, 2024 · 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 inradius.
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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. In this construction, we only use two, as this is sufficient to define the point where they intersect.
Incircle Definition (Illustrated Mathematics Dictionary) - Math is Fun
Triangles, regular polygons and some other shapes have an incircle, but not all polygons. The incircle's radius is also the "apothem" of the polygon. Below is the incircle of a triangle (try dragging the points):
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 as non- square rectangles ) do not have an incircle.
Incircle of a triangle - Math Open Reference
In the case of a triangle, there is always an incircle possible, no matter what shape the triangle is. In the figure above, the red circle is the incircle of the triangle. Each side of the triangle is a tangent to the incircle.
Triangle incircle definition - Math Open Reference
The Incircle of a triangle Also known as "inscribed circle", it is the largest circle that will fit inside the triangle. Each of the triangle's three sides is a tangent to the circle.
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.
Incircles and Excircles | Brilliant Math & Science Wiki
The incircle is the inscribed circle of the triangle that touches all three sides. The inradius \(r\) is the radius of the incircle. Now we prove the statements discovered in the introduction.