Question

If two tangents are inclined at 60° are drawn to a circle of radius 3cm then
find length of each tangent.
Pls explain step by step ​

Answer 1

Step-by-step explanation:

ANSWER

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

∴∠APO=∠BPO

= 1/2 × ∠APB

= 1/2 × 60

=30

Also, OA⊥AP and OB⊥BP

In a right angled triangle OAP,

tan30 = 3/PA

1/√3 = 3/PA

PA = 3√3cm

⇒PA=PB= 3√3cm