Central Angle An angle in a circle with vertex at the circle's center.
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arc length/circumference=central angle/360 1/9=central angle/360 central angle=40
The central angle is the angle that has its vertex at the center of the circle.
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
Central angle of a regular polygon is 360/n. n is the number of sides.
If three central angles measures 65, 87, and 112, find the measure of the fourth central angle.