Draw a regular hexagon of side 2.4 cm. Circumscribe a circle to it.

Steps of construction :

1. We know that each angle in a regular hexagon = 120°.

2. Draw a line segment AB = 2.4 cm.

3. At A and B draw rays making an angle of 120° each and cut off AF = BC = 2.4 cm.

4. At F and C, draw rays making angle of 120° each and cut off EF = CD = 2.4 cm.

5. Join ED. Hence, ABCDEF is the required hexagon.

6. Draw the perpendicular bisectors of AB and AF which intersect each other at O.

7. With O as center and OA as radius draw a circle which will pass through all the vertices of the regular hexagon.

Hence, above is the required circumcircle of regular hexagon.

Hence, ABCDEF is the required hexagon.