Difference between revisions of "Incircle"
|Line 17:||Line 17:|
Revision as of 08:35, 6 August 2017
This article is a stub. Help us out by.
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. A quadrilateral that does have an incircle is called a Tangential Quadrilateral.
- The radius of an incircle of a triangle (the inradius) with sides and area is
- The radius of an incircle of a right triangle (the inradius) with legs and hypotenuse is .
- For any polygon with an incircle, , where is the area, is the semiperimeter, and is the inradius.
- The formula for the semiperimeter is .
- And area of the triangle by Heron is .