Area converter

Convert square feet to square metres, acres to hectares and sq ft to Indian land units (guntha, cent, bigha, marla, kanal, ground), with stated conversion factors.

Drafted with AI writing toolsUpdated Checked examples: 5

A number in the “from” unit, or with its own unit
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Converted value
m²
Converted value: 92.90304 m²
Significant figures: 12; Nearest, ties away from zero
Conversion
1,000 ft² = 92.90304 m²
Conversion factor
0.09290304
Exactness
Exact

1,000 ft² is exactly 92.90304 m². One square foot is exactly 0.09290304 m².

The same area as a square

31.62 ft9.639 m1,000 ft² = 92.90304 m²
1,000 ft² in every Area unit Rows: 17
UnitValueDefinition
square metre (m²)92.90304Base unit
square kilometre (km²)0.000092903041 km² = 1,000,000 m², exact
square centimetre (cm²)929,030.41 cm² = 0.0001 m², exact
square millimetre (mm²)92,903,0401 mm² = 0.000001 m², exact
hectare (ha)0.0092903041 ha = 10,000 m², exact
are (a)0.92903041 a = 100 m², exact
acre (ac)0.022956841 ac = 4,046.8564224 m², exact
square foot (ft²)1,0001 ft² = 0.09290304 m², exact
square inch (in²)144,0001 in² = 0.00064516 m², exact
square yard (yd²)111.11111 yd² = 0.83612736 m², exact
square mile (mi²)0.000035870061 mi² = 2,589,988.110336 m², exact
cent2.2956841 cent = 40.468564224 m², exact (India: 1/100 acre)
guntha0.91827361 guntha = 101.17141056 m², exact (India: 1/40 acre (1089 ft²))
bigha (Uttar Pradesh)0.036730951 bigha = 2,529.285264 m², approximate (Varies by district; 27,225 ft² used here)
marla3.6730951 marla = 25.29285264 m², exact (272.25 ft² (Punjab standard))
kanal0.18365471 kanal = 505.8570528 m², exact (20 marla)
ground0.41666671 ground = 222.967296 m², exact (Tamil Nadu: 2400 ft²)
How it's calculated S
  1. Convert square foot to square metre

    1,000 ft2×0.09290304 m2ft2=92.90304 m21{,}000\ \text{ft$^{2}$} \times 0.09290304\ \tfrac{\text{m$^{2}$}}{\text{ft$^{2}$}} = 92.90304\ \text{m$^{2}$}

    1 ft² = 0.09290304 m², exact

    Both units are defined exactly and the converted mathematical value has a terminating decimal. A displayed result may still be rounded.

About the area converter

An area unit is the square of a length unit, so its factor is the square of a length factor: 1 ft² = 0.3048² m² = 0.09290304 m² exactly. Every unit is held as a number of square metres, including the acre (43,560 ft²) and the hectare (10,000 m²), and a conversion multiplies by one factor and divides by the other.

Flat and plot sizes are the usual reason to convert. The default 1,000 ft² flat is 92.90304 m², and 1 hectare is 2.4711 acres. Indian land units are included: a guntha is 1/40 acre (1,089 ft²), a cent 1/100 acre (435.6 ft²) and a ground 2,400 ft².

The bigha has no national size. The converter uses 27,225 ft² and labels every result that involves it as approximate. The marla (272.25 ft²) and kanal (20 marla) use the stated Punjab convention; check the local land record when using regional units.

How to convert area units

Square the length factor. A foot is exactly 0.3048 m (NIST SP 811, Appendix B), so 1 ft² = 0.3048 × 0.3048 = 0.09290304 m², and 1,000 ft² = 92.90304 m². For any two area units, multiply by the size of the first unit in square meters, then divide by the size of the second.

Why a length factor gives the wrong area

A square foot is a square 0.3048 m on each side, so its area is 0.3048 m × 0.3048 m. Both sides change when you switch units, which is why the factor appears twice.

Multiplying 1,000 ft² by 0.3048 instead gives 304.8, about 3.28 times the correct 92.90304 m². Any unit pair fails the same way: an area always needs the length factor squared.

Square yards to square meters

One yard is 0.9144 m, so 1 yd² = 0.9144² = 0.83612736 m². Multiply square yards by 0.83612736: 20 yd² of carpet is 16.7225472 m². To go back, divide by the same number; one square meter is about 1.19599 yd².

Square inches to square feet

A square foot is 12 in × 12 in, so it holds 144 in². Divide square inches by 144: a 30 in × 60 in desktop covers 1,800 in², which is 12.5 ft². In metric terms, one square inch is exactly 6.4516 cm².

Area units in square meters

Each row gives one unit in square meters, rounded to at most six decimal places. Inch, foot, yard and mile units use the international foot of exactly 0.3048 m.

Source unitSquare metersConvention
1 m21Defined factor
1 km21000000Defined factor
1 cm20.0001Defined factor
1 mm20.000001Defined factor
1 ha10000Defined factor
1 are100Defined factor
1 acre4046.856422Defined factor
1 ft20.092903Defined factor
1 in20.000645Defined factor
1 yd20.836127Defined factor
1 mi22589988.110336Defined factor
1 cent40.468564Regional convention
1 guntha101.171411Regional convention
1 bigha_up2529.285264Regional convention
1 marla25.292853Regional convention
1 kanal505.857053Regional convention
1 ground222.967296Regional convention

A hectare is a 100 m square, 10,000 m², and an are is 100 m². An acre is 43,560 ft², exactly 4,046.8564224 m², and a square mile holds 640 acres. One hectare is about 2.47105381467 acres.

Regional land units

The converter uses these sizes for South Asian land units:

  • Cent: 1/100 acre, or 435.6 ft².
  • Guntha: 1/40 acre, or 1,089 ft².
  • Ground: 2,400 ft².
  • Marla and kanal: a marla of 272.25 ft², and a kanal of 20 marla, or 5,445 ft².
  • Bigha: 27,225 ft², a 165 ft square. The bigha has no single size and changes between districts, so treat any bigha result as approximate.

The same unit name can mean a different area in another region. Check the definition in the relevant land record before relying on a converted figure for a sale or a legal document.

Common mistakes

  • Shifting the decimal by a length step. 1 m is 100 cm, but 1 m² is 100 × 100 = 10,000 cm². Likewise 1 km² is 1,000,000 m².
  • Rounding the sides before multiplying. A 3.6 m × 4.2 m room is 15.12 m², about 162.75 ft². Rounding its sides to 12 ft × 14 ft first gives 168 ft², 3% too much.
  • Comparing listings that measure different areas. Two converted figures compare fairly only when both measure the same thing: interior floor space in both, for example, or the whole footprint in both.

If you know a room's length and width but not its area, multiply them first with the area and perimeter calculator. For a single direction with its own chart, use square feet to square meters or acres to hectares.

Worked examples

1000 ft² to m²

Value
1000 ft²
From
square foot (ft²)
To
square metre (m²)
Converted value
92.90304 m²
Exactness
Exact

Checked against: 1 ft² = 0.3048² m² = 0.09290304 m² (NIST HB 44 App. C)

1 acre in square feet

Value
1 ac
From
acre (ac)
To
square foot (ft²)
Converted value
43,560 ft²

Checked against: NIST HB 44 App. C: 1 acre = 43,560 ft²

1 hectare in acres

Value
1 ha
From
hectare (ha)
To
acre (ac)
Converted value
2.4710538147 ac

Checked against: 10,000 m² ÷ (43,560 × 0.09290304 m²) = 390625000/158080329

1 guntha in square feet

Value
1 guntha
From
guntha
To
square foot (ft²)
Converted value
1,089 ft²

Checked against: 1 guntha = 1/40 acre = 43,560/40 ft² = 1,089 ft²

Questions

How many square feet are in an acre?

Exactly 43,560 ft². An acre was historically a strip one chain (66 ft) wide and one furlong (660 ft) long, and 66 × 660 = 43,560. With the international foot of 0.3048 m that is 4,046.8564224 m², or 0.4047 hectares.

How many acres are in a hectare?

2.4711 acres. A hectare is a 100 m × 100 m square, 10,000 m², and an acre is 4,046.8564224 m², so 10,000 ÷ 4,046.8564224 = 2.4710538 acres. In the other direction 1 acre is exactly 0.40468564224 ha.

How do I convert square feet to square metres?

Multiply by 0.09290304. Dividing by 10.7639 is an approximation. The exact factor is 0.3048², the square of the metres in a foot. A 12 × 15 ft room (180 ft²) is about 16.72 m²; multiplying by 0.3048 instead of its square would give 54.86, more than three times too much.

How big is a guntha, a cent and a ground?

A guntha is 1,089 ft² (101.17 m²), a square 33 ft on each side and 1/40 of an acre. A cent is 1/100 acre, 435.6 ft² (40.47 m²). A ground is 2,400 ft² (222.97 m²). All three are fixed fractions of the acre or fixed square-foot areas, so their conversions are exact.

Why does a bigha have different sizes?

Bigha is a local land-record unit with different regional definitions. Rajasthan has documented jarib systems based on a 165 ft square (27,225 ft²) and a 132 ft square (17,424 ft²). This converter uses 27,225 ft² and marks conversions involving bigha as approximate. Check the local land record: the same unit name can have a different size in another district.

About this calculator

1 ft2=(0.3048 m)2=0.09290304 m21 ac=43560 ft2=4046.8564224 m21 ha=10000 m2\begin{gathered} 1\ \text{ft}^2 = (0.3048\ \text{m})^2 \\ = 0.09290304\ \text{m}^2 \\ 1\ \text{ac} = 43560\ \text{ft}^2 \\ = 4046.8564224\ \text{m}^2 \\ 1\ \text{ha} = 10000\ \text{m}^2 \end{gathered}

Sources

  1. NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors
  2. NIST Handbook 44, Appendix C — General tables of units of measurement
  3. Government of India MDDS — Land Record Area conversion factors

Checked against references

This calculator includes 5 worked examples with independently sourced answers. They run in the test suite, and you can run them here too.

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