Mathematics
Answer
Steps of construction :
We know that each angle in a regular hexagon = 120°.
Draw a line segment AB = 2.4 cm.
At A and B draw rays making an angle of 120° each and cut off AF = BC = 2.4 cm.
At F and C, draw rays making angle of 120° each and cut off EF = CD = 2.4 cm.
Join ED. Hence, ABCDEF is the required hexagon.
Draw the perpendicular bisectors of AB and AF which intersect each other at O.
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.
Related Questions
Using ruler and compasses only construct a ΔABC in which BC = 6.2 cm, ∠A = 60° and the altitude through A is 2.6 cm. Draw the incircle of the triangle.
Draw a ΔABC in which BC = 5.6 cm, ∠B = 45° and the median AD from A to BC is 4.5 cm. Inscribe a circle in it.
Draw a regular hexagon of side 2.2 cm. Inscribe a circle in it.
Using ruler and compass, construct a triangle ABC, where AB = 3 cm, BC = 4 cm and ∠ABC = 90°. Hence, construct a circle circumscribing the triangle ABC. Measure and write down the radius of the circle.