Q.) If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then length of each tangent is equal to

1) cm

2)6 cm

3)3 cm

4) cm

Solution :

We know that tangent is always perpendicular to the radius of circle , so in triangle OPT ,

In the given triangle above,

=> PT = OPtan30 = 3 X

Now,length of two tangents from an external same point to a circle is equal to each other.

Hence , length of each tangent =

Hence , Option(4)