Draw a circle of radius 3.5 cm. Draw a pair of tangents to this circle, which are inclined to each other at an angle of 60°. Write the steps of construction.

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Solution

Steps of Construction:

Step 1. Draw a circle with centre O and radius = 3.5 cm.
Step 2. Draw any diameter AOB of this circle.
Step 3. Construct $∠ B O C = 60 °$ , such that the radius OC meets the circle at C.
Step 4. Draw MA $⊥ A B and N C ⊥ O C .$ ⊥AB and CN⊥OC.
Let AM and CN intersect at P.

Then, PA and PC are the required tangents to the given circle that are inclined at an angle of 60^o.

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