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Question

What is the inradius of a regular hexagon of sides 6 cm?



Your Answer
A

23 cm

Correct Answer
B

33 cm

Your Answer
C

32 cm

Your Answer
D

6 cm


Solution

The correct option is C

33 cm


In a regular hexagon, two adjacent circumradii and the included side forms an equilateral triangle. 

The circumradius R of a regular hexagon = length of any side = 6 cm.

Now, we can find out the inradius r , using the Pythagoras theorem.

R2=r2+32

62=r2+32

r2=369=27

r=33 cm

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