Question

Draw a circle of radius 4 cm and construct chord of length 6 cm in it. Draw a radius perpendicular to the chord from the centre. Construct tangents at the ends of the chord and the radius.

Answer 1

Steps of construction:

$1)$ Draw a circle of radius $4cm$ with centre $O$

$2)$ Take any point $P$ on the circle and draw a chord $PQ$ of length $6cm$.

$3)$From $P$ cut the line $PQ$ at $3cm$ (mid-point).

$4)$ Join $O$ and the midpoint and extend this line till it intercepts the circle at $R$.

$5)$ $OR$ is the radius perpendicular to chord $PQ$.

$6)$Draw perpendicular lines to $PQ$ at $P$ and $Q$ and to $OR$ at $R$.

$7)$ The perpendicular lines drawn at $P$, $Q$ and $R$ are the required tangents.