Question

Construct a regular hexagon of side 3.2 cm

Answer 1

The length of the side of a regular hexagon is equal to the radius of its circumcircle.

Steps of construction:

1. Draw a circle of radius 3.2 cm

2. Taking any point A on the circumference of the circle as a centre, draw arcs of same radii (i.e. 3.2 cm) which cut the circumference at B and F.

3. With B and F as centres, again draw two arcs of same radii which cut the circumference at C and E respectively.

4. With C or E as a centre, draw one more arc of the same radius which cuts the circumference at point D.
In this way, the circumference of the circle is divided into six equal parts.

5. Join AB, BC, CD, DE, EF and FA.

ABCDEF is the required regular hexagon.