The angle subtended at the center of a shape by two given points on its periphery.
1. Central angle of a circle
The two rays CA and CB in the figure below form the central angle ACB. C is the circle center.
For more on this see Central angle in a circle.
2. Central angle of a regular polygon
The angle subtended at the center of a regular polygon by one its sides.
For more on this see Central angle of a regular polygon.
Definition and properties of the central angle of a circle
Definition of the central angle of a polygon
From two points on a circle, the central angle is twice the inscribed angle
(C) 2011 Copyright Math Open Reference. All rights reserved