Question

Inscribe a regular hexagon in a circle of radius 3 .5 cm.

Answer 1

Steps of construction: 

(i) Draw a circle with centre O and radius = 3.5 cm. 

(ii) Draw radii OA and OB such that ∠ AOB = (360/3) = 120° 

(iii) Cut off arcs BC, CD, DE, EF and AF equal to AB. 

(iv) Join AB, BC, CD, DE, EF and AF. 

ABCDEF is the required regular hexagon inscribed in the given circle.