Question

Draw a circle of radius 3 cm. Draw a pair of tangents to this circle, which are inclined to each other at an angle of ${60}^o$.

Answer 1

Steps of construction :

1) Draw a circle with $O$ as centre and radius $=3cm.$

2) Draw any diameter $AOB$ of this circle.

3) Construct $\angle BOC={60}^o$ such that radius $OC$ meets the circle at $C.$

4) Draw $AM\perp AB$ and $CN\perp OC$.

Let $AM$ and $CN$ intersect each other at $P$. Then, $PA$ and $CN$ intersect each other at $P.$

Then, $PA$ and $PC$ are the required tangents to the given circle, inclined at an angle of ${60}^o$.