Question

Draw a circle of radius 6.4cm with centre O. Draw four chords in
the circle and name them. Construct perpendicular bisectors of each
chord. Where do the bisectors meet?

Answer 1

Answer:

(1) Mark any point C on the sheet.

(2) 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.

(3) Mark any diameter

AB

in the circle.

(4) Now, taking A and B as centre, draw arcs on both sides of

AB

taking radius more than

AB

. Let these intersect each other at D and E.

(5) Join DE, which is the perpendicular bisector of AB.

It can be observed that

DE

is passing through the centre C of the circle.