Draw a circle with centre O. Two chords AB and CD subtend equal angles at the centre, that is ∠AOB=∠COD.
Answer the following questions:
(a) State the theorem that relates equal central angles to their chords.
(b) Using the theorem stated in part (a), explain why AB=CD.
(c) If the length of chord AB is 6cm, what is the length of chord CD? Give reasons for your answer.