This calculator converts a square area from square kilometers (km²) to acres, and also shows the result in square miles and square feet. Enter the area in square kilometers, and you’ll get the equivalent in acres instantly. The conversion is based on the international acre, which is exactly 4,046.8564224 square meters.
Formula
The conversion factor between square kilometers and acres is fixed because both units are defined in terms of the meter. One acre is exactly 4,046.8564224 square meters, and one square kilometer is 1,000,000 square meters. Therefore:
Acres = Square kilometers × 1,000,000 / 4,046.8564224
Which simplifies to:
Acres = Square kilometers × 247.105381467
Where:
- Square kilometers (km²) – the input area, a metric unit equal to a square with sides of 1 kilometer (1,000 meters).
- Acres (ac) – the output area, a customary unit used mostly in the US and UK. One acre is about 43,560 square feet, or roughly 90 yards of a US football field.
Worked Example
Using the default value of 1 square kilometer:
- Multiply by the conversion factor: 1 × 247.105381467 = 247.105381467 acres.
- Round to 2 decimal places: 247.11 acres.
The calculator shows 247.11 acres, which matches. For 2.5 km², the result would be 2.5 × 247.105381467 = 617.76 acres.
Why Convert Between km² and Acres?
You might need this conversion when dealing with land measurements in different systems. Most of the world uses hectares or square kilometers for large land areas, but the US, UK, Canada, and a few other places still use acres. For example:
- Reading a property listing in the US that gives acreage, while the official cadastral map is in square kilometers.
- Comparing the size of a national park or farm that is listed in km² on an international site but you want to visualize it in acres.
- Converting agricultural yields or land prices that are quoted per acre when your data is in km².
The conversion is exact and doesn’t depend on the shape of the land – it’s purely a unit conversion, not an area calculation. If you have a rectangle or irregular shape, you first need to compute its area in square kilometers (or any unit) before using this converter.
How to Read the Result
The primary output is the area in acres. A quick reference:
- 1 km² ≈ 247 acres (about the size of 250 international rugby fields).
- 1 acre ≈ 0.004 km² (or 4,046.86 m²).
- 1 square mile = 640 acres, so 1 km² is about 0.386 square miles.
If you’re working with smaller plots, you might prefer to see the result in square feet or square meters. The calculator provides square feet and square miles as additional outputs. For a property that is, say, 0.2 km², the result is 49.42 acres – that’s a typical large farm or a small rural subdivision.
Common Mistakes and Misconceptions
One common error is confusing square kilometers with kilometers squared. “km²� means square kilometers, an area. “km squared� is sometimes used informally but is ambiguous – it could mean (km)² which is the same, but some people mistakenly think it means 1,000 m × 1,000 m, which is correct, but then they try to multiply by 1,000 again. Stick to the symbol km².
Another mistake is mixing up acres with hectares. A hectare is 10,000 m², so 1 km² = 100 hectares. An acre is smaller than a hectare: 1 hectare ≈ 2.471 acres. If you accidentally use the hectare conversion (100) instead of the acre conversion (247.1), your result will be less than half the correct value.
Rounding too early can also cause errors, especially when converting large areas. For example, if you round 247.105 to 247, then 100 km² would give 24,700 acres instead of 24,710.5. Use the full factor or the calculator’s built-in precision.
When to Use This Calculator (and When Not To)
Use this calculator when you already have an area in square kilometers and need the equivalent in acres. It’s perfect for:
- Real estate and land sales, especially international comparisons.
- Agricultural planning, where acreage is the standard in many countries.
- Environmental studies, where large areas are often reported in km² but you need acres for a report.
Do not use it to convert a length (like kilometers) to acres – that’s impossible because they measure different dimensions. Also, if you have a plot with irregular boundaries, you need to calculate its area first (using GPS, survey data, or a planimeter) and then convert that area. This calculator doesn’t compute area from dimensions; it only converts units.
Alternatives and Related Conversions
If your input is in square meters, you can still use this calculator by first dividing by 1,000,000 to get km². Or you can use a dedicated m² to acres converter. Similarly, if you have hectares, multiply by 0.01 to get km² before converting. For US users, you might also want to convert acres to square feet (1 acre = 43,560 ft²) or to square miles (1 acre = 1/640 mi²). The calculator includes square miles and square feet outputs, so you can get those directly.
If you need to convert between acres and hectares directly, the factor is 1 hectare = 2.47105381467 acres. This is a common conversion for international land deals.
Frequently Asked Questions
How many acres are in a square kilometer?
Exactly 247.105381467 acres. For quick mental math, you can use 247, but for accurate work use the full factor. For example, 10 km² is 2,471.05 acres.
What is the difference between an acre and a hectare?
Both measure area, but they come from different systems. An acre is a US customary/imperial unit, defined as 43,560 square feet. A hectare is a metric unit, exactly 10,000 square meters. One hectare is about 2.471 acres, so a hectare is larger than an acre. One square kilometer equals 100 hectares.
Can I convert square kilometers to acres if my land is not square?
Yes, the conversion works for any shape because it’s a unit conversion, not a geometric calculation. As long as you know the total area in square kilometers (computed from any shape), you can multiply by the factor to get acres. The shape doesn’t affect the conversion factor.
Why is the acre exactly 4,046.8564224 square meters?
That’s the international acre, defined in 1959. Historically, an acre was the amount of land a yoke of oxen could plow in a day, but it was standardized later. The international acre is exactly 4,046.8564224 m², which is equivalent to 43,560 square feet.
Is the acre used in the UK the same as in the US?
Yes, both use the international acre of 4,046.8564224 m². However, some older legal definitions (like the US survey acre) differ by a tiny amount – about 0.016 square meters. For most practical purposes, they are identical, but for extremely precise land surveys, you should check which definition is used.
How do I convert acres back to square kilometers?
Divide the number of acres by 247.105381467. For example, 500 acres ÷ 247.105381467 = 2.023 km². Or multiply by 0.0040468564224 (the inverse factor).
Related
Formula used
in km2 | Area in square kilometers | km² | 1 | 0 | 1000000 out ac | Acres | ac | km2 * 247.105381467 | 2 out mi2 | Square miles | mi² | km2 * 0.3861021585 | 3 out ft2 | Square feet | ft² | km2 * 10763910.4167 | 1
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
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