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