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In response to "huh. didn't know there was a formula for that. thanks, science guy! -- nm" by prayformojo

explanation

If the radius of the circle is r, the diameter is 2r, so the length of the side of the square is 2r. The area of the square is (2r)^2 = 4*r^2. The area of the circle is pi*r^2, and then the ratio of the two is (4*r^2)/(pi*r^2), the r^2 cancels, and you're left with 4/pi = 1.27323954...

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