Question

Construct a tangent to any point on the circle of radius $3cm$.

Answer 1

The steps for construction of the tangent are:

1) Draw a circle of radius $3$cm with $P$ as its center.

2) Mark any point $R$ on the circumference of the circle and join points $P$ and $R$.

3) Extend ray $PR$.

4) With a compass, take point $R$ as the center and any suitable radius to mark arcs on either side of $R$.

5) Draw a perpendicular to the ray $PR$ passing through point R.

6) Hence, the required figure.