Question

Construct a tangent at any point $P$ on a circle of radius $3cm$

Answer 1

1. Draw a circle of radius $3cm$. Take any point $P$ on it.

2. Join $O-P$ and extend the ray.

3. From point $P$ draw an arc with radius $OP$ such that it intersects the ray $OP$ again at $A$.

4. From point $O$ and $A$ draw two intersecting arcs and mark the intersection points as $Q$.

Line $PQ$ is the required tangent.