Question

In the figure OP = 5 cm and radius of circle = 3 cm, then find the length of tangent OPT drawn from point P circle.

(A) 3 cm

(B) 4 cm

(C) 5 cm

(D) 6 cm

Answer 1

Answer is (B) 4 cm

∵ ∠OTP = 90°

From right angled ∆OTP

OP² = OT² + PT²

PT² = OP² – OT²

= 5² – 3²

= 25 – 9 = 16

PT = \(\sqrt { 16 }\)

PT = 4 cm