Question
Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.
✓
Answer
Steps of Construction:
(i) Draw a circle of radius 4 cm with centre O
(ii) Since the interior angle of regular hexagon is 60o, 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.
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