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 60º.
Solution:
Steps of Construction
Step 1. Draw a circle with centre O and radius 3 cm.
Step 2. Draw any diameter AOB of the circle.
Step 3. Construct
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 60º.