Question

Draw two tangents from a point $5$ cm away from the centre of a circle of radius $3$ cm.

Answer 1

Given, a circle of radius $3$ cm whose Centre is $O$ and a point P $,5$ cm away from its centre.

STEPS OF CONSTRUCTION:

$1.$Draw circle with $O$ as centre and radius $=3cm.$ Take a point $P$ such that $OP=5cm.$

$2.$Draw the bisector of $OP$ which intersect $OP$ at $M.$

$3.$Taking $M$ as centre and $MO$ as radius, draw a dotted circle. Let this circle cuts the given circle $A$ and $B.$

$4.$Join $PA$ & $PB$.

$5.$Thus , $PA$ & $PB$ are the required tangents. By measurement using scale $PA=PB=4cm.$