Since, ∆OPQ is a right-angled triangle, we have to find the radius of the circle (OP).

by Pythagoras Theorem, we get

(Hypotenuse)² = (Height)² + (Base)²

or, OQ² = OP² + PQ²

or, OQ² - PQ² = OP²

or, (25)² - (24)² = OP²

or, 625 - 576 = OP²

or, 49 = OP²

or, √49 = OP

or, 7 = OP

Therefore, the radius of the circle is 7 cm.

Verified answer

THE ANSWER IS ;7 cm

I. e radius is 7cm