A circle has diameter

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

PR

. A point

Q

lies anywhere on the circle other than

P

R

. Let

S

be the midpoint of

PR

. (i) Prove that

\triangle PQR

is a right-angled triangle with the right angle at

Q

. (ii) Show that

SP=SQ=SR

. (iii) If

PQ=7\,\text{cm}

and

QR=24\,\text{cm}

, find the radius of the circle.