A central angle of a circle is one whose vertex is the center of the circle. The measure of that angle is equal to the measure of the corresponding arc. In other words, the measure of angle O in the example is equal to the measure of arc AB.

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Geometry

A central angle of a circle is one whose vertex is the center of the circle. The measure of that angle is equal to the measure of the corresponding arc. In other words, the measure of angle O in the example is equal to the measure of arc AB.