A circle with centre has radius

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

A circle with centre

O

has radius

15\,\text{cm}

. Two parallel chords

AB

and

CD

lie on opposite sides of

O

and the perpendicular distance between the chords is

14\,\text{cm}

. If

AB = 24\,\text{cm}

, answer the following. (i) Find the perpendicular distance of each chord from the centre. (ii) Calculate the length of

CD

. (iii) Prove that the perpendicular bisectors of

AB

and

CD

intersect at

O