<PRE><B>Question 1051388</B>
let s be the side of the square and r be the radius of the circle, then
:
1) s^2 = 2*pi*r^2
:
Perimeter of square = 4s
:
Circumference of circle = 2*pi*r
:
from equation 1) s = square root (2*pi*r^2)
:
ratio of perimeter of square to circumference of the circle = (4*r*square root(2*pi)) / (2*pi*r) = (2*square root(2*pi)) / pi
:
square the numerator and denominator
:
**************************
4 * 2 * pi / pi^2 = 8 / pi
**************************
:
</PRE>