Question

Construct a regular hexagon of side 5 cm. Construct a circle circumscribing the hexagon. All traces of construction must be clearly shown.

Answer 1

Each interior angle of the regular hexagon = `(2n - 4)/n xx90^@ = (2xx6-4)/6 xx 90^2 = 120^@`

Steps of construction:

1) Construct the regular hexagon ABCDEF with each side equal to 5 cm

2) Draw the perpendicular bisectors of sides AB and AF and make them intersect each other at point O.

3) With O as the centre and OA as the radius draw a circle which will pass through all the vertices of the regular hexagon ABCDEF