Question

Draw a circle of radius $3cm.$ Take a point at a distance of $5.5cm$ from the centre of the circle. From point $P,$ draw two tangents to the circle.

Answer 1

In order to construct the required tangents, we follow the following steps:

$StepsI$: Take a point $O$ in the plane of the paper and draw a circle of radius $3cm$

$StepsII$: Mark a point $P$ at a distance of $5.5cm$ from the centre $O$ and join $OP$.

$StepsIII$: Draw the right bisector of $OP$, intersecting $OP$ at $Q$.

$StepsIV$: Taking $Q$ as centre and $OQ=PQ$ as radius, draw a circle to intersect the given circle at $T$ and $T^{\prime }$$StepsV$: Join $PT$ and $P{T}^{\prime }$ to get the required tangents.