Question

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
(A) 7 cm (B) 12 cm (C) 15 cm (D) 24.5 cm

Answer 1

Solution: In Δ OPQ
OP² = OQ² – PQ²
Or, OP² = 252 – 242
Or, OP² = 625 – 576
Or, OP² = 49
Or, OP = 7