Question

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

Answer 1

Steps of construction :

(i) Draw a circle with O as centre and radius 4 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 $AM\perp AB$ and $CN\perp OC$.

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.