Question

To a circle of radius 4cm, draw two tangents which are inclined to eachother at an angle 60°.

How do I do this construction?​

Answer 1

First you need to draw a circle of radius 4 cm.

Then simply Jointhe centre to a point on the circle. Let it be OA.

Construct 90° at A and 120° at O.

Extend the angle made in O to meet at point on the circle. Let the point be B.

Construct 90° at B and extend it.

Extend the line from A.

Intersect the both lines coming from A and B. Let this point be C.

AC and BC are the required tangents.

Also angle BCA=60°

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