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?
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.