Question

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.

Answer 1

Steps of Construction: 

Step 1: Draw a circle with center O and radius = 3.5cm 

Step 2: Draw any diameter AOB of this circle

Step 3: Construct ∠BOC = 60°, such that the radius OC meets the circle at C.

Step 4: Draw \(MA \perp AB\) and \(NC \perp OC.\)

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°