How to Circumscribe a Circle About a Regular Polygon

StepExampleDescription
1Hexagon ABCDEF Start with hexagon ABCD.
2Hexagon ABCDEF with perpendicular bisector of EF. Draw the perpendicular bisector of one of the sides. In this case, the perpendicular bisector of EF is drawn.
3Hexagon ABCDEF with perpendicular bisector of ED.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.
4Hexagon ABCDEF with point G labeled. Label the point at the intersections of BC and EF. This is the circumcenter.
5Hexagon ABCDEF with circumcircle. 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. http://www.allmathwords.org/en/h/htcircumregpolygon.html.

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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.)

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