Problem Solving

Guys,

I have a query on the following problem, request you to look into this and let me know, whats the best way to tackle these kind of problems?


If a circle, regular hexagon and a regular octagon have the same area and if the perimeter of the circle is represented by "c", that of the hexagon by "h" and that of the octagon by "o", then which of the following is true?

A) c>o>h
B) c>h>o
C) h>c>o
D) o>h>c
E) h>o>c


Thanks
Gopi


My approach is bit time consuming and also is not yielding exact answer, forcing me to guess in the end.


Since Circle, Regular Hexagon and Regular Octagon are having equal areas.

¶R^2^2=6 √¾ H^2=8 √¾ O^2
(where, R-radius of the circle, H-is the side of the hexagon and O-is the side of the octagon)

3.14R^2=2.55H^2=3.4O^2

6h, 2¶R and 8o
(regular hexagon, a circle and a regular octagon respectively)

from here on, the answer is not getting any clearer so i had to guess and move on.

So guys, look into this and provide any better and quicker way to deal this problem.