Question

If two tangents inclined at an angle o areordrawn to a circle of radius 3 cm, then the length of
each tangent is equal ?​

Answer 1

Step-by-step explanation:

Then angle OAP= angle OBP = 90° and

angle OPA = angle OPB = 30°

OA = OB = 3 cm.

In the right triangle OAP,

OA/AP = tan 30° => 3/AP = 1/√3

So AP= 3√3cm or3×1.732=5.196 cm

So length of each tangent = 5.196 cm.