Question

Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.

Answer 1

Steps of Construction:
Step 1: Draw a circle with centre O and radius 3cm.
Step 2: Draw any diameter AOB of the circle.
Step 3: Construct ∠BOC = 60° such that radius OC cuts the circle at C.
Step 4: Draw AM ⊥ AB and CN ⊥ OC. Suppose AM and CN intersect each other at P.

Here, AP and CP are the pair of tangents to the circle inclined to each other at an angle of 60°.