Question

If two tangents are inclined at 60˚ are drawn to a circle of radius 3 cm then

find length of each tangent.

​

Answer 1

Step-by-step explanation:

Let PA and PB be the two tangents to a circle with centre O and radius 3

∴∠APO=∠BPO

=

2

1

×∠APB

=

2

1

×60

0

=30

0

Also, OA⊥AP and OB⊥BP

In a right angled triangle OAP,

tan30

0

=

PA

3

⇒

3

1

=

PA

3

⇒PA=3

3

cm

⇒PA=PB=3

3

cm

hope helpful!?