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Question
Construct a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.
Solution
Steps of construction:
- Draw a circle with a radius of 5 cm with the centre as O.
- Take point A on the circumference of the circle and join OA.
- Draw a radius OB, making an angle of 120° (180° – 60°) with OA.
- Draw a perpendicular to OB at point B and a perpendicular to OA at point A. Let both perpendiculars intersect at point P.
- PA and PB are the required tangents at an angle of 60°.
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