bigfernhead wrote:

The area of a square equals that of a circle. Which of the following is closest to the ratio of the diagonal of the square to the diameter of the circle?

0.95

1.26

1.40

1.57

2.51

I feel like I'm making a simple mistake somewhere, but can't figure out where.

s^2 = pir^2

s = r sqrt(pi)

diagnal, ds = s (sqrt 2)

diameter, dc = 2r

ds/dc = s (sqrt 2)/2r

ds/dc = r sqrt(pi) (sqrt 2)/2r

ds/dc = sqrt(pi/2)

ds/dc = sqrt(3.14/2)

ds/dc = sqrt(1.57)

ds/dc = 1.26 approx..

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