Question

If two tangents inclined at an angle 60 degree are draws to a circle of radius 3 cm, find the length of each tangent. ​

Answer 1

Answer:

Step-by-step explanation:

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/root3 = 3/PA

PA = 3root3

PA=PB=3root3

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