Mathematics
Draw a regular hexagon of side 4 cm and construct its incircle.
Constructions
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Answer
We know that each angle in a regular hexagon = 120°.
Draw a line segment AB = 4 cm.
At A and B draw rays making an angle of 120° each and cut off AF = BC = 4 cm.
At F and C, draw rays making angle of 120° each and cut off EF = CD = 4 cm.
Join ED. Hence, ABCDEF is the required hexagon.
Draw the angle bisectors of A and B which intersect each other at O.
Draw OL ⊥ AB.
With centre O and radius OL, draw a circle which touches the sides of hexagon. This is the required incircle of hexagon ABCDEF.
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