Question

prove that


angle subtended at the center is the twice of the angle subtended in any point on the circle .

Answer 1

• Theorem : The angle distended at the centre is twice the angle subtended at any point.

Given : An arc PQ of a circle C (O, r) and a point R on the remaining part of the circle i.e are QP.

To Prove : angle POQ = 2angle PRQ.

Construction : Join Ro and produce it to a point M outside the circle.

Proof : see the above pic with first diagram.

Answer 2

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