Angle between two tangents drawn from an external point p

Asked by admin @ 03/08/2021 in Math viewed by 305 People

if the angle between two tangents draw from an external point P to a circle of radius and a centre O, is 60degree,then find the lenght of OP

Answered by admin @ 03/08/2021

Answer:

Step-by-step explanation:

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(Ans)

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