# Math

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

• Math -

radius = 2pi, so diameter = 4pi

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

perimeter = 4*4pi = 16pi

• Math -

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 -

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 -

Ms Sue, you are correct. Nice save for you and Reiny.

• Math -

senpai, teach me ur ways. btw if u r searching this question up and in nationwide master, bruh, do ur work pls

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