Question

Draw a circle with centre C and radius $3.4$cm. Draw any chord $\overline{AB}$. Construct the perpendicular bisector of $\overline{AB}$ and examine if it passes through C, if $\overline{AB}$ happens to be a diameter.

Answer 1

$\left(1\right)$ Mark any point C on the sheet.
$\left(2\right)$ By adjusting the compasses up to $3.4cm$ and by putting the pointer of the compasses at point C, turn the compasses slowly to draw the circle. It is the required circle of $3.4cm$ radius.
$\left(3\right)$ Mark any diameter $\overline{AB}$ in the circle.
$\left(4\right)$ Now, taking A and B as centre, draw arcs on both sides of $\overline{AB}$ taking radius more than $\overline{AC}$(radius of the circle). Let these intersect each other at D and E.
$\left(5\right)$ Join $DE$, which is the perpendicular bisector of $AB$.
It can be observed that $\overline{DE}$ is passing through the centre C of the circle.