• # question_answer 23) Draw a circle of radius 4 cm. Draw two tangents to the circle inclined at an angle of $60{}^\circ$ to each other.

Answer:

 Steps of construction: (i) Draw a circle with O as centre and radius $4\text{ }cm$. (ii) Draw any diameter AOB of this circle. (iii) Construct $\angle BOC=60{}^\circ$ such that radius OC meets the circle at C. (iv) Draw $AM\bot AB$ and $CN\bot OC$. Let AM and CN intersect each other at P Then, PA and PC are the required tangents to the given circle and inclined at an angle of $60{}^\circ$ to each other.

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