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Question
Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.
Solution
The tangents can be constructed in the following manner:
(i) Draw a circle of radius 3 cm with the centre as O.
(ii) Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A.
(iii) Draw a radius OB, making an angle of 120° [(180° − 60°)] with OA.
(iv) Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P.
PA and PB are the required tangents at an angle of 60°.
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