Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

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TextAngle Subtended by Chord at CentrePerpendicular from Centre Bisects the Chord

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In the given figure, O is the centre of a circle and diameter AB bisects the chord CD at a point P such that CP = PD = 10 cm and PB = 6 cm, Then find the radius of the circle.

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In the given figure, AOB is the diameter of circle with centre O and P is any point on the circle. Find ∠APB.

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