Bicentric Polygon - Regular Polygons

Regular Polygons

For all regular polygons, x=0. That is, the incircle and the circumcircle share a common center. This center is also the center of the regular polygon.

For some regular polygons which can be constructed with compass and ruler, we have the following formulas for the relation between the common edge length a, the radius r of the incircle, and the radius R of the circumcircle:

3
4
5
6
8
10

Read more about this topic:  Bicentric Polygon

Other articles related to "regular polygons, regular":

Duality of Regular Polygons
... See also Self-dual polyhedra All regular polygons are self-dual to congruency, and for odd n they are self-dual to identity ... In addition, the regular star figures (compounds), being composed of regular polygons, are also self-dual ...

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