| Reference | Acres (ac) | Square decameters (dam²) |
|---|---|---|
| A sheet of A4 paper | 0.000015412 ac | 0.0006237 dam² |
| A tennis court | 0.0644451 ac | 2.608 dam² |
| A football pitch | 1.76433 ac | 71.4 dam² |
| One hectare | 2.47105 ac | 100 dam² |
| Central Park, New York | 842.629 ac | 34100 dam² |
The acre is a unit of area equal to 4046.86 square metres, or 43,560 square feet. Its symbol is ac. It is the principal land measure of the English-speaking world, and unlike most imperial units it survives not as a nostalgic remnant but as a legally operative measure in the United States, Britain, Ireland, India and much of the former British empire.
Its shape explains its odd size. The acre was defined as one chain by one furlong: a strip 22 yards wide and 220 yards long, which is the area a team of oxen was reckoned to plough in a day. Ploughing with oxen favoured long narrow strips because turning the team was slow, so the unit encodes a working method rather than a geometric idea, and that is why it is not a square number of anything.
The chain that fixes its width had a second life in surveying. Gunter's chain of 22 yards divides a mile into eighty parts and an acre into ten square chains, which made land arithmetic tractable before decimal calculation. American public land was surveyed on this basis, so a section is one square mile and contains exactly 640 acres, a quarter section 160, and those numbers still shape property boundaries across the western United States.
In practice the acre is used wherever land changes hands. Farms, building plots, forestry blocks and conservation holdings in the United States and Britain are advertised in acres, agricultural yields are quoted in bushels or tonnes per acre, and pesticide and fertiliser application rates are printed per acre on the label. In India and Pakistan the acre coexists with local units, and a Punjabi killa is an acre by another name.
A useful mental picture is that an acre is a little smaller than an association football pitch, which runs to about 1.76 acres. A city block in a gridded American town is often between two and five acres. A hectare, the metric competitor, is about two and a half acres, so converting between the two never gives a round number in either direction.
There is no single legal acre worldwide. The international acre, based on the international yard of exactly 0.9144 metres, is used almost everywhere; the United States survey acre, retired at the end of 2022, was larger by about two parts in a million, which matters only when re-tracing old survey lines across long distances.
One acre equals 4046.86 square metres, 43,560 square feet, 4840 square yards, or about 0.4047 hectares.
The square decametre is a unit of area equal to one hundred square metres. It is written dam², and it is the area of a square ten metres on a side, since a decametre is ten metres. It is exactly the same quantity as the are, and the choice between the two names is a choice between strict metric grammar and two centuries of habit.
The International System is built from coherent units, meaning every derived unit is a product or quotient of base units with no extra factors. Squaring a prefixed length gives a perfectly coherent area, so the square decametre needs no special permission to exist. The are, by contrast, is listed as a non-SI unit accepted for use with the SI, tolerated for land measurement rather than derived from anything.
Despite that formal advantage, the square decametre lost decisively. The are was already in every French land register when the modern system was codified, and a register does not change its columns for a matter of notation. The result is that the correct SI form is almost never written, and its accepted non-SI equivalent is what appears on deeds across half of Europe.
The quantity itself is a useful one to be able to picture, whichever name is used. A hundred square metres is a square ten metres on a side: a generous garden, the ground floor of a small house, a market stall pitch, or a large classroom. It is the last area a person can pace out accurately without instruments, and it is the natural size for describing a plot rather than a field.
Where the symbol does appear, the exponent must be read carefully. The string dam already means decametre, a length, so dam² and dam differ by an entire dimension, and a dropped superscript turns an area into a distance. Software that strips formatting from tables is a common cause of exactly that error.
For any practical purpose, converting is the right response. Multiply by a hundred for square metres, divide by a hundred for hectares, and the resulting figure will match whatever else is on the page. One square decametre is one are, and both are one hundred square metres, so nothing is lost in either direction.
One square decametre equals 100 square metres, 1 are, 0.01 hectares, or about 1076.4 square feet.