Question

Draw a circle of suitable radius and draw a chord of length $4.6$cm. Draw tangents at point X and point Y without using the centre.

Answer 1

Let $R=3cm$

Draw circle of $r=3cm$

Take point $P$ on it.

Mark an arc of $4.6cm$ and join $PQ$

Take a point $M$ on the major arc.

Join $PM$ and $PQ$

Draw lines $PR$ and $QR$ at an angle equal to $\angle PMQ$ taking $P$ and $Q$ as vertices and $PQ$ as base.

The obtained $PR$ and $QR$ are required tangents.