Question

Draw a circle of radius $3$cm.From a point $10cm$ away from its centre construct the pair of tangent to the circle and measure their lengths.

Answer 1

$1.$Draw a circle of radius $3$cm

$2.$Draw point $P,10$cm away from center.

$3.$Join $PO$ Make perpendicular bisector of $PO$.

Let $M$ be the midpoint of $PO$

$4.$Taking $M$ as centre and $MO$ as radius, draw a circle.

$5.$Let it intersect the given circle at points $Q$ and $R$

$6.$Join $PQ$ and $PR$

$\therefore ,PQ$ and $PR$ are the required tangents .

And $PQ=PR=9.5$cm