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Question
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
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Solution
Steps of construction:
- Draw a line segment AB = 5.8 cm.
- At A and B, draw rays making an angle of 120° each and cut off AF = BC = 5.8 cm.
- Again F and C, draw rays making an angle of 120° each and cut off FE = CD = 5.8 cm.
- Join DE. Then ABCDEF is the regular hexagon.
- Draw the bisectors of ∠A and ∠B intersecting each other at O.
- From O, draw OL ⊥ AB.
- With centre O and radius OL, draw a circle which touches the sides of the hexagon.
This is the required in circle of the hexagon.
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