Question

Write the steps of construction for drawing a pair of tangents to a circle of radius $$3$$ cm, which are inclined to each other at an angle of $$60^0$$.

Answer 1

Step of construction:

1) Draw a circle by taking $$O$$ as a centre and $$OA=3$$ cm (radius)

2) Extend $$OA$$ to $$B$$ s.t. $$OA=AB=3$$ cm

3) Taking $$A$$ as the centre draw a circle of radius $$AO=AB=3$$ cm

Suppose it cuts circle drawn in step $$1$$ at $$P$$ and $$Q$$.

4) Join $$BP$$ and $$BQ$$ to get the desired tangetns.