Question

if two tangents are inclined at 60 degree are drawn to a circle of radius 3cm then find the length of each tangent.​

Answer 1

Answer:

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

∴∠APO=∠BPO

=21×∠APB

=21×600

=300

Also, OA⊥AP and OB⊥BP

In a right angled triangle OAP,

tan300=PA3

⇒31=PA3

⇒PA=33cm

⇒PA=PB=33 cm