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 Description  
 Circumcircle:  The circle that passes through all the vertices of a polygon.
The figures below show circumcircles (in red) of regular polygons.



The polygons do not have to be regular, but they do need to be convex, as the following examples illustrate.



This is an example of a circle drawn around a concave polygon. Do you know why the circle cannot be called a circumcircle? Hint: look at ALL of the vertices.