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