Calculator Soup^{®}

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 m^{2}, for example, from 50 ft^{2}, just * multiply by* the value in the right column in the table below.

50 ft

^{2}* 0.09290304 [m^{2}/ ft^{2}] = 4.645152 m^{2}

To convert from m^{2} back into units in the left column * divide by* the value in the right column or, multiply by the reciprocal, 1/x.

4.645152 m

^{2}/ 0.09290304 [m^{2}/ ft^{2}] = 50 ft^{2}

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 m^{2} then divide by the factor for B to convert out of m^{2}. Or, you can find the single factor you need by dividing the A factor by the B factor.

For example, to convert from ft^{2} to mm^{2} 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 ft^{2} to mm^{2} you multiply by 92903.04.

To understand how to also convert the units follow this example. Say you want to convert from ft^{2} to m^{2}. 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 = 1We can write the conversion as:

1 ft^{2}= 1 ft^{2}* (1 m / 3.28084 ft) * (1 m / 3.28084 ft) = 0.0929030 m^{2}And we now have our factor for conversion from ft

^{2}to m^{2}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 ft^{2} = 0.09290304 m^{2} we can now find the conversion factor for converting back. Dividing both sides of the equation by 0.09290304 we get about 10.7639104 ft^{2} = 1 m^{2}. So, the conversion factor to multiply by to convert from m^{2} to ft^{2} is about 10.7639104.

To Convert from Unit |
Unit Symbol |
and Convert to ( m ^{2} ) |
Multiply by ( m ^{2} / Unit ) |
---|---|---|---|

square inch | in^{2} |
square meter | 0.00064516 |

square foot | ft^{2} |
square meter | 0.09290304 |

square yard | yd^{2} |
square meter | 0.83612736 |

square mile | mi^{2} |
square meter | 2589988.110336 |

acre | ac^{} |
square meter | 4046.8564224 |

hectare | ha | square meter | 10000 |

square millimeter | mm^{2} |
square meter | 0.000001 |

square centimeter | cm^{2} |
square meter | 0.0001 |

square meter |
m^{2} |
square meter |
1 |

square kilometer | km^{2} |
square meter | 1000000 |

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.