Mathematics
Draw a regular hexagon of side 3.5 cm. Construct its circumcircle and measure its radius.
Constructions
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Answer
We know that each angle in a regular hexagon = 120°.
Draw a line segment AB = 3.5 cm.
At A and B draw rays making an angle of 120° each and cut off AF = BC = 3.5 cm.
At F and C, draw rays making angle of 120° each and cut off EF = CD = 3.5 cm.
Join ED. Hence, ABCDEF is the required hexagon.
Draw the perpendicular bisector of AB and BC. Let these bisectors meet at the point O.
With O as center and radius equal to OA or OB, draw a circle which passes through the vertices of the hexagon. This is the required circumcircle of hexagon ABCDEF.
On measuring we get OA = 3.5 cm.
Hence, the required hexagon with circumcircle of radius 3.5 cm. is formed.
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