Question

Draw a circle of radius $4.2$ cm. Draw a pair of tangents to this circle inclined to each other at an angle of ${45}^0$.;

Answer 1

Steps of construction :

1) Draw a circle with radius $4.2$ cm and centre $O$.

2) Draw diameter $AB$

3) With $OB$ as base, draw $\angle BOC={45}^0$

4) At $C$, draw a line perpendicular to $OC$

5) At $A$, draw a line perpendicular to $OA$

Both the lines intersect each other at point $P$. So $PC$ and $PA$ tangents.