Question

if the angle between two tangents drawn from an external point P to a circle of radius a and Centre O is 60 degree then find the length of OP

Answer 1

Answer:2a

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

Answer 2

Heya user..!!

Here is ur answer.!!

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Given :

• Angle APB = 60°

• And Angle OPA = 30°

• To find the length OP = ?

• In triangle OPA :

Sin 30° = opposite/ hypotenuse = a/PO

1/2 = a/PO

∴ PO / OP = 2a.

So, the length of OP = 2a.

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I Hope this may help u..!!

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