the angle subtended by an arc at the centre is double the angle subtended by the same arc at any point on the circle
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In geometry, an angle is subtended by an arc, line segment or any other section of a curve when its two rays pass through the endpoints of that arc, line segment or curve section. ... For example, one may speak of the angle subtended by an arc of a circle when the angle's vertex is the centre of the circle.
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