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.

Question

TextPerpendicular from Centre Bisects the ChordAngle in Semicircle is Right Angle

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If AB= 12 cm, BC=16cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is

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.

Angle Subtended by Chord at Centre

Perpendicular from Centre Bisects the Chord

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AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is :