In a circle with centre

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

Problem

O

, chords

AB

and

CD

are parallel and

AB = CD

. The four points are taken in order so that

ABCD

forms a trapezium. (i) Prove that the arcs

AB

and

CD

are equal. (ii) Show that

\angle BAD = \angle BCD

. (iii) If the perpendicular distance from

O

AB

8\,\text{cm}

, find the perpendicular distance from

O

CD

. Give reason for your answer.