Difference between revisions of "Incircle"

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[[Image:Incenter.PNG|left|thumb|300px|Triangle ''ABC'' with incenter ''I'', with [[angle bisector]]s (red), incircle (blue), and [[inradius]] (green)]]
  
 
An '''incircle''' of a [[convex]] [[polygon]] is a [[circle]] which is inside the figure and [[tangent line | 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 (geometry) | square]] [[rectangle]]s) do not have an incircle.
 
An '''incircle''' of a [[convex]] [[polygon]] is a [[circle]] which is inside the figure and [[tangent line | 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 (geometry) | square]] [[rectangle]]s) do not have an incircle.

Revision as of 19:30, 15 September 2007

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Triangle ABC with incenter I, with angle bisectors (red), incircle (blue), and inradius (green)

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.

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