define , central angle
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A central angle is an angle with endpoints and located on a circle's circumference and vertex located at the circle's center (Rhoad et al. 1984, p. 420). A central angle in a circle determines an arc.
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A central angle is an angle whose apex is the center O of a circle and whose legs are radii intersecting the circle in two distinct points A and B. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one
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