In a circle with centre

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

O

AB

and

CD

are two chords such that

AB = CD

. (i) Explain why

\angle AOB = \angle COD

. Give complete reasoning. (ii) If

\angle AOB = 80^\circ

, state the measure of the arc

CD

and justify your answer. (iii) Let

M

and

N

be the mid-points of

AB

and

CD

respectively. Compare the lengths

OM

and

ON

and give reasons for your conclusion.