Question

If two tangents are inclined at 60' are drawn to a circle of radius 3cm then
find length of each tangent?


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Answer 1

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Answer 2

Answer:

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

∴∠APO=∠BPO

= ½ ×∠APB

= ½×60°

= 30°

Also, OA⊥AP and OB⊥BP

In a right angled triangle OAP,

tan30°= 3/ P A

⇒ 1 /√3 = 3/PP

⇒PA=3 √3cm

⇒PA=PB=3 √3cm

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