Mensuration Questions Answers

Mensuration - Quant/Math - CAT 2008

Question 4 the day: September 11, 2002
The question for the day is from the topic of Mensuration.

A regular hexagon is inscribed in a circle of radius r cms. What is the perimeter of the regular hexagon?

(1)

3r

(2)

6r

(3)

721 r/2

(4)

9r

Correct Answer - (2)
 

 

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Solution:

A regular hexagon comprises 6 equilateral triangles, each of them having one of their vertices at the center of the hexagon. The sides of the equilateral triangle are equal to the radius of the smallest circle inscribing the hexagon. Hence, each of the side of the hexagon is equal to the radius of the hexagon and the perimeter of the hexagon is 6r.