(Q12) Calculate the length of tangent from a point 15 cm. away from the center of a circle of radius 9 cm

POQ9cm15cm

Given: A circle with radius OP = 9cm

A tangent PQ from a point Q at a distance of 15 cm

from the center OQ = 15 cm

Now in triangle POQ ∠p = 90°

OP2+PQ2-OQ2

2+PQ2 = 2

PQ2 = 2-2

PQ2=

PQ = √ = cm

Hence the length of the tangent = cm.