Arpents to Square Miles (arpent to mi²)
1 arpent (North American) equals 0.001320040809 square miles (rounded).
How to convert arpents to square miles
To convert arpents to square miles, multiply the number of arpents by 0.001320040809. The factor is rounded to 10 significant digits. To go the other way, multiply square miles by 757.5523373 (rounded).
square miles = arpents × 0.001320040809
Example: 10 arpents = 0.01320040809 square miles.
Approximate value. Standards for the arpent (North American) varied by place and period, so this converter uses the most commonly cited value. Treat results as estimates, not exact figures.
About these units
Arpent (North American) (arpent)
About 3,419 m² (0.845 acre), a square of 180 French feet. Still used in Louisiana and Quebec land records. The older Paris arpent was larger, about 5,107 m².
Arpent probably descends from the Late Latin arepennis, half a jugerum, which may itself trace to a Gaulish word for the end of a field. French surveyors used it for land and forests, and the size changed from province to province. Wikipedia describes the Paris arpent as 220 French feet on a side, about 71.5 m, which gives roughly 5,107 square meters.
The smaller arpent of 180 French feet, about 58.5 m on a side, gives 32,400 square French feet, near 3,419 square meters or 0.845 acre. Wikipedia files this version under North America, where Louisiana grants usually fixed river frontage in arpents with plots 40 or more deep. Some states round it differently, to 0.84628 acre in Louisiana and 0.8507 acre in Arkansas and Missouri.
The figure used here is 3,418.9 square meters. Mauritius and Seychelles use yet another arpent, near 4,221 square meters, and Quebec land records still use the term.
1 arpent (North American) = 3,418.89 square meters (approximately).
Sources: Wikipedia: Arpent
Square Mile (mi²)
640 acres or about 2.59 km². Used for the area of cities, states and countries in the US and UK.
A thousand Roman paces, mille passus, became the mile, and under Elizabeth I Parliament fixed the statute mile at eight furlongs, or 5,280 feet, in place of the older Roman-based value. The square mile inherits that length. Its most famous use came in the United States: the Land Ordinance of 1785 started the Public Land Survey System so that western land could be surveyed and sold to pay war debts, beginning with the Seven Ranges in eastern Ohio.
In that system a section is roughly one square mile, or 640 acres, and a township is 36 sections in a square six miles on a side. One square mile is nearly 2.59 million square meters. Chicago's Midway International Airport, at about 650 acres, covers roughly 1.02 square miles. Beware the phrase mile square: a region 20 miles square has 400 square miles, but so does a rectangle 10 by 40 miles. The US survey version of the mile was retired from 1 January 2023, but the international square mile remains the unit for cities, states and countries in the US and UK.
1 square mile = 2,589,988.11 square meters (approximately).
Sources: Wikipedia: Square mile; Wikipedia: Public Land Survey System; Wikipedia: Mile
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See all area units.