A circle of radius contains two chords and whose lengths are and respectively

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

A circle of radius

10\,\text{cm}

contains two chords

PQ

and

RS

whose lengths are

12\,\text{cm}

and

16\,\text{cm}

respectively. (a) Find the perpendicular distance of chord

PQ

from the centre of the circle. (b) Find the perpendicular distance of chord

RS

from the centre. (c) Which chord is nearer to the centre? Justify your answer with calculations.