Math
posted by Grace on .
a square in a circle with a radius of 2 pi .What is the perimeter of the square?

radius = 2pi, so diameter = 4pi
circle diameter is the length of the side of the square.
perimeter = 4*4pi = 16pi 
Isn't the diagonal of the square the same as the diameter of the circle?
http://flowers4u.files.wordpress.com/2009/10/squarewithincirclefig10gt.jpg 
So the diagonal of the square is 4π
let each side of square be x
x^2 + x^2 = 16π^2
2x^2 = 16π^2
x^2 = 8π^2
x = π√8
4x = 4π√8
= 8√2 π 
Ms Sue, you are correct. Nice save for you and Reiny.