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This length is half a diagonal. To find the diagonal of a square given a side use the Pythagorean theorem. Let s be a side and d the diagonal. Then

d2 = s2 + s2 = 2s2 . so d = sqrt(2s2) = sqrt(2) s

Therefore the distance you want is 1/2 sqrt(2) s or roughly .707 s

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Q: How do you get the length from the center of a square to a corner?
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