Posted by **Grace** on Tuesday, July 31, 2012 at 5:40pm.

a square in a circle with a radius of 2 pi .What is the perimeter of the square?

- Math -
**Steve**, Tuesday, July 31, 2012 at 6:37pm
radius = 2pi, so diameter = 4pi

circle diameter is the length of the side of the square.

perimeter = 4*4pi = 16pi

- Math -
**Ms. Sue**, Tuesday, July 31, 2012 at 8:00pm
Isn't the diagonal of the square the same as the diameter of the circle?

http://flowers4u.files.wordpress.com/2009/10/square-within-circle-fig-10-gt.jpg

- Math -
**Reiny**, Tuesday, July 31, 2012 at 8:01pm
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

- Math - ouch -
**Steve**, Wednesday, August 1, 2012 at 10:01am
Ms Sue, you are correct. Nice save for you and Reiny.

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