Question

Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.

Answer 1

 

Steps of construction:

1. Draw a circle of radius 4 cm with centre O.
2. Since the interior angle of a regular hexagon is 60°, draw radii OA and OB such that ∠AOB = 60°.  
3. Cut off arcs BC, CD, EF, and each is equal to arc AB on the given circle.
4. Join AB, BC, CD, DE, EF, and FA to get the required regular hexagon ABCDEF in a given circle.
5. The circle is the required circumcircle, circumscribing the hexagon.