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Question
Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.
Solution
Steps of construction:
- Draw a circle with a radius of 3 cm with the centre as O.
- Take point A on the circumference of the circle and join OA. Draw a perpendicular at OA at point A.
- Draw a radius OB, making an angle of 120° [180° – 60°] with OA.
- Draw a perpendicular to OB at point B. Let both the perpendicular intersect at point P. PA and PB are the required tangents at an angle of 60°.
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