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Question

Draw an inscribing circle of a regular hexagon of side 5.8 cm and find the length of the radius.


A

2.61 cm

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B

8.4 cm

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C

4.61 cm

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D

6.0 cm

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Solution

The correct option is C

4.61 cm


Using the given data, construct the regular hexagon ABCDEF with each side of 5.8 cm.

Draw the bisectors of interior angle at A and B which intersects each other at point O

From point O, draw OP perpendicular to AB.

With O as the centre and OP as radius, draw a circle which will touch all the sides of the regular hexagon drawn.

After measuring the length of IP, i.e. radius = 4.61 cm


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