Question

Draw a circle of radius $4$cm.At a point $P$ on it, draw a tangent to the circle without using centre.

Answer 1

$1.$Draw a circle with radius $4$cm

$2.$Take a point $P$ on the circle.

$3.$Through $P,$ draw any chord $PQ$

$4.$Mark a point $R$ either in major arc or in minor arc.

$5.$Join $PR$ and $QR$

$6.$At $P,$construct $\angle QPT$ equal to $\angle PRQ$ on the opposite side of the chord $PQ$

$7.$Produce $TP$ to $T^{\prime }$ to get a straight line $T^{\prime }PT$.