Question

if the angle between two tangents drawn from an external point p to a circle of radius a and center o is 60° then find length of op.​

Answer 1

Answer:

length of op is 2a . angle OPA is 30

Answer 2

Here you go...

Answer:

OA=a

OP=?

ANGLE BETWEEN TANGENTS=60°

Tangents are equally aligned to each other

=> <OPA=<OPB=30°

IN ∆OPA,

<POA=180°-90°-30°

=60°

Cos 60°=OA/OP

1/2 =a/OP

=> OP = 2a

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