Center of a Polygon

Definition: The point inside a regular polygon that is equidistant from each vertex.
Try this Adjust the number of sides of the polygon below, or drag a vertex to note the center point of the polygon.

Regular Polygon case

In the case of regular polygons the center is the point that is equidistant from each vertex or corner. It is also the center of the polygon's incircle and circumcircle.

Irregular Polygon case

Irregular polygons are not considered as having a center, since there is unlikely to be any one point equally distant form each vertex. However, an irregular polygon can have a centroid, or center of gravity. This is discussed further in the Coordinate Geometry volume.

Other polygon topics


Types of polygon

Area of various polygon types

Perimeter of various polygon types

Angles associated with polygons

Named polygons