Question

Draw a circle of suitable radius and draw chord XY of length $4.6$ cm. Draw tangents at point X and point Y.

Answer 1

Draw a circle of radius $=3cm$ and mark a point $X$ on circumference

From point $X$, mark an arc of $4.6cm$ and

Join chord $X$ and $Y$. Join points $X$ and $Y$ with center $O$. Taking $X$ and $Y$ as vertex and $OX$ and $OY$ as base, draw perpendiculars to $OX$ and $OY$.

The perpendiculars meet at point $R$.

$XR$ and $YR$ are required tangents.