# Square grid formula

I know roughly the formula for counting distances on a square grid, but not exactly. If counting say 5 squares east and 2 squares south, the total distance is 5 plus what? I know it's the sum of the diagonal addition per south square, so something like 5 + (2x), where x is the extra distance covered per diagonal, which by memory is about 0.31, so a trip of 5 miles east and 2 miles south would be about 5.6 miles in a dead straight line.

Is there an exact formula and tidier and more precise than this?
19:26 Thu 03rd May 2012

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