Question

Draw a circle of radius 4.2 cm. Draw a pair of tangents to this circle inclined to each other at an angle of 45°.

Answer 1

Steps of Construction:
Step 1: Draw a circle with center O and radius = 4.2 cm.
Step 2: Draw any diameter AOB of this circle.
Step 3: Construct ∠BOC = 45°. such that the radius OC meets the circle at C.
Step4: Draw AM ⊥ AB and CN ⊥ OC.
AM and CN intersect at P.

Thus, PA and PC are the required tangents to the given circle inclined at an angle of 45°.