Question

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

Answer 1

Steps of Construction:

(i) Draw a circle of radius 4 cm with centre O

(ii) Since the interior angle of regular hexagon is 60^o, draw radii OA and OB such that ∠AOB = 60° .

(iii) Cut off arcs BC, CD, EF and each equal to arc AB on given circle

(iv) Join AB, BC, CD, DE, EF, FA to get required regular hexagon ABCDEF in a given circle.

The circle is the required circum circle, circumscribing the hexagon.