Question

27
20) Draw a circle of radius 5 cm. Draw a
diameter AOB, where O is the centre of the
circle. With AB as a diagonal, can you
construct a rectangle in the circle, so that all
four vertices of the rectangle lie on the
circle? How can you do this?
28
20
79)​

Answer 1

$\huge\boxed{Answer}$

We are asked to draw the circle centered at O of radius 5 cm with its chord AB.

We follow the following steps:

STEP1: Draw a circle with centre at point O and radius 5 cm.

STEP2: Draw its cord AB.

STEP3: With centre A as centre and radius more than half of AB, draw two arcs, one on each side of AB.

STEP4: With B as centre and the same radius as in step3, draw arcs cutting the arcs drawn in the previous step at C and D respectively.

STEP5: Draw the line segment with C and D as end-points.

The diagram is shown in the above image.

The line segment CD is the required perpendicular bisector of AB. Since CD is perpendicular bisector of AB which is chord of circle,

Hence, it passes through the centre of the circle.