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.

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