Perpendicular bisector of a chord

OBJECTIVE

To verify that perpendicular bisector of a chord passes through the centre of the circle.

PREREQUISITE KNOWLEDGE

Concept of circle and it's properties

Concept of perpendicular bisector of a line

MATERIALS REQUIRED

Coloured glazed paper

Colours

White paper

PROCEDURE

Take a coloured paper and draw a circle of any radius with centre O

Draw a chord AB ( Image 1)

                                                                             Image 1

Fold the circle in such a way that B falls on A and press to get a crease ( Image 2)

Image 2

OBSERVATION

The centre of the circle lies on the crease ( perpendicular bisector of AB)

                                                                            Image 3

CONCLUSION

It is Verified that the perpendicular bisector of the chord passes through the centre of the circle.