how much of a factor is the curvature of the earth in this?
A square with an area of 1,000,000 acres has a side length of 12.5√10 miles, obviously
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On earth, a square with area 510.1 million km² has side length ~0, obviously
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I'm surprised the ratios even get that nice, honestly.
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Oh right, a furlong is 1/8 of a mile, so an acre is 1/(8*80) = 1/640 of a square mile. Take it to a useful number of acres, like 1000, and it comes out to a reasonable 1.25 sqmi. It's just the choice of 1e6 specifically that puts the √10 in there, 1e5 or 1e7 look nicer.
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