How to Circumscribe a Circle About a Regular Polygon

Step	Example	Description
1		Start with hexagon ABCD.
2		Draw the perpendicular bisector of one of the sides. In this case, the perpendicular bisector of EF is drawn.
3		Draw the perpendicular bisector of one of the other sides of the hexagon which is not opposite the last side used. In this case, the perpendicular bisector of BC is drawn.
4		Label the point at the intersections of BC and EF. This is the circumcenter.
5		Draw a circle with center at G and edge at any of the vertices. This is the circumcircle.
Table 2: Circumscribing a circle about a regular polygon.

Cite this article as:

McAdams, David E. How to Circumscribe a Circle About a Regular Polygon. 4/22/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/h/htcircumregpolygon.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

4/22/2019: Update equations and expressions to new format. (McAdams, David E.)
3/17/2019: Removed broken manipulative. (McAdams, David E.)
7/16/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
5/5/2010: Initial version. (McAdams, David E.)