CalcOpenly

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 exact factors.

Updated Checked against 5 worked examples

A number in the “from” unit, or with its own unit
Try
Converted value
m²
Converted value: 92.90304 m²
Shown to 12 significant figures, half-up
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 (17 rows)
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 value is a terminating decimal, so every digit shown in it is exact.

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) follow the Punjab standard.

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); Python 3.8 fractions from the legal definitions: 290322/3125

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 (Python 3.8 fractions from the legal definitions)

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, or divide by 10.7639. The factor is 0.3048², the square of the metres in a foot, so it is exact. A 12 × 15 ft room (180 ft²) is 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?

Each state, and sometimes each district, kept its own customary bigha. West Bengal and Assam use 14,400 ft² (1,600 sq yd); the pucca bigha of Rajasthan and the bigha of eastern Uttar Pradesh and Bihar are 27,225 ft² (3,025 sq yd); Himachal Pradesh uses 8,712 ft². This converter uses 27,225 ft², so check the local land record first.

How accurate is the area converter?

Accuracy depends on your inputs and the method's assumptions. Decimal arithmetic uses 50 significant digits, but estimates, numerical methods and source data can be less precise; the displayed rounding does not remove those limits. It is checked against 5 worked examples whose answers come from independent sources; for example, “1000 ft² to m²” is checked against 1 ft² = 0.3048² m² = 0.09290304 m² (NIST HB 44 App. C); Python 3.8 fractions from the legal definitions: 290322/3125.

Where does the method come from?

NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors; NIST Handbook 44, Appendix C — General tables of units of measurement.

About this calculator

xto=xfrom×ffromftof=one unit expressed in m2\begin{gathered} x_{\text{to}} = x_{\text{from}} \times \dfrac{f_{\text{from}}}{f_{\text{to}}} \\ f = \text{one unit expressed in } \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

Checked against references

5 worked examples with independently sourced answers ship with this calculator. They run in the test suite; you can run them here too.

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