Question

A circle with radius 12cm12cm , from a point P which is 20 cm away from the centre then length of tangent is. a.18 b.23 c.14 d.16​

Answer 1

Answer:

d. 16

Step-by-step explanation:

Let the tangent touches the circle at A and the centre be O.

We know, OA⊥PA, so ΔOAP is right angled at A

Given, OA = radius = 12 cm

OP = 20 cm

OA^2 + PA^2 = OP^2 (∵Pythagoras' theorem)

PA = √(20^2 - 12^2) = 16 cm