Question

Prove that equal chords AB and CD of a circle subtend equal angles at the centre. Use the above to find ∠ABO in Figure 4, where O is the centre of the circle

In a circle with centre O, the central angle AOB is 60°. If the radius of the circle is 12 cm, what is the length of the chord AB?

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.