prove that the angle subtended by an Arc of a circle at its Centre is twice of the angle its subtends anywhere on the circles circumference
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i dont understood this question properly.
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An arc of a circle is any part of the circumference.
The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc.
In the following figure, an arc of the circle shown subtends an angle
α
at a point on the circumference, and an angle
β
at the centre
O
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