Area Conversion Calculator

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How to Convert Units of Area

Conversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem:

S * C = E

Where S is our starting value, C is our conversion factor, and E is our end converted result.

To simply convert from any unit into m2, for example, from 50 ft2, just multiply by the value in the right column in the table below.

50 ft2 * 0.09290304 [m2 / ft2] = 4.645152 m2

To convert from m2 back into units in the left column divide by the value in the right column or, multiply by the reciprocal, 1/x.

4.645152 m2 / 0.09290304 [m2 / ft2] = 50 ft2

To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into m2 then divide by the factor for B to convert out of m2.  Or, you can find the single factor you need by dividing the A factor by the B factor.

For example, to convert from ft2 to mm2 you would multiply by 0.09290304 then divide by 0.000001.  Or, multiply by 0.09290304/0.000001 = 92903.04. So, to convert directly from ft2 to mm2 you multiply by 92903.04.

To understand how to also convert the units follow this example. Say you want to convert from ft2 to m2. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that ft will cancel out leaving you with m.

Since:
1 m = 3.28084 ft, 1 m / 3.28084 ft = 1

We can write the conversion as:
1 ft2 = 1 ft2 * (1 m / 3.28084 ft) * (1 m / 3.28084 ft) = 0.0929030 m2

And we now have our factor for conversion from ft2 to m2 since 1 * 0.0929030 = 0.0929030.  Note that there are rounding errors in this value.  The value in the table, 0.09290304, is more accurate.

Knowing that 1 ft2 = 0.09290304 m2 we can now find the conversion factor for converting back.  Dividing both sides of the equation by 0.09290304 we get about 10.7639104 ft2 = 1 m2.  So, the conversion factor to multiply by to convert from m2 to ft2 is about 10.7639104.

Units, symbols and conversion values
used in this area calculator
To Convert from
Unit
Unit
Symbol
and Convert to
( m2 )
Multiply by
( m2 / Unit )
square inch in2 square meter 0.00064516
square foot ft2 square meter 0.09290304
square yard yd2 square meter 0.83612736
square mile mi2 square meter 2589988.110336
acre ac square meter 4046.8564224
hectare ha square meter 10000
square millimeter mm2 square meter 0.000001
square centimeter cm2 square meter 0.0001
square meter m2 square meter 1
square kilometer km2 square meter 1000000

References/ Further Reading

The National Institute of Standards and Technology (NIST) - The NIST Guide for the use of the International System of Units - Appendix B, subsections B.8 Factors for Units Listed Alphabetically and B.9 Factors for units listed by kind of quantity or field of science.

Lide, David R., Daniel (Editor-in-Chief). CRC Handbook of Chemistry and Physics, 89th Edition New York, NY: CRC Press, p. 1-28, 2008.

Wikipedia contributors. "Conversion of units" Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, last visited 26 Jun. 2011.

 

Cite this content, page or calculator as:

Furey, Edward "Area Conversion Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.