Draw a circle inscribing a regular hexagon of side 5.8 cm. Find the length of the radius.

2.61 cm

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8.4 cm

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4.61 cm

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6.0 cm

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Solution

The correct option is C
4.61 cm

Construct a regular hexagon ABCDEF of side 5.8 cm.

Draw the angle bisectors of $∠$ A and $∠$ B. Let it intersect at point I.

From point I, draw IP perpendicular to AB.

With I as the centre and IP as radius, draw a circle.This will touch all the sides of the regular hexagon.

Measure IP. IP = 5 cm (approx.)

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