Click here:point_up_2:to get an answer to your question :writing_hand:prove that the angle subtended by an arc at the centre is double the angle
To prove that the angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle, we will consider two cases: when the arc is a minor arc and when it is a major arc.<stro
To Prove: ∠PAQ=90^@ Proof: POQ is a straight line passing through center O. ∴ Angle subtended by arc PQ at O=∠POQ=180^@ The angle subtended by an arc at the center is double the angle subtended by it any point on the remaining part of the circle. ∴∠