A circle has centre O. Two distinct chords AB and CD subtend angles ∠AOB and ∠COD respectively at the centre such that ∠AOB>∠COD.
(i) State the relationship between the size of a chord and the magnitude of the angle it subtends at the centre of a circle.
(ii) Using the statement in part (i), explain which of the two chords, AB or CD, is longer. Give reason in two clear steps.
(iii) If the two chords AB and CD are of equal length, what can you conclude about ∠AOB and ∠COD? Justify your answer.