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/squarewithincirclefig10gt.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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