US Survey Feet to Meters: Exact Conversion
- Length (US survey feet)
- 100 ft
- You entered
One US survey foot equals exactly 1200/3937 meters, which is approximately 0.3048006096 meters. To convert a length in US survey feet to meters, multiply the number of feet by this factor. This calculator performs that conversion instantly and shows the result in meters with up to six decimal places.
Formula
The conversion uses the exact definition of the US survey foot:
meters = feet × (1200 / 3937)
Where:
- feet = the length in US survey feet (unit: ft)
- meters = the equivalent length in meters (unit: m)
- 1200/3937 = the exact conversion factor, which equals approximately 0.304800609601219
This factor is not a rounded approximation; it is the legal definition used by the U.S. National Geodetic Survey (NGS) for survey work. In contrast, the international foot is defined as exactly 0.3048 meters, which is slightly shorter.
Worked Example
Using the default value of 100 US survey feet:
- Start with the formula: meters = feet × (1200 / 3937)
- Substitute 100 for feet: meters = 100 × (1200 / 3937)
- Calculate the fraction: 1200 / 3937 ≈ 0.3048006096
- Multiply: 100 × 0.3048006096 = 30.48006096
- Rounded to six decimal places: 30.480061 meters
The calculator shows this same result. If you enter 1 foot, you get 0.304801 m; if you enter 1000 feet, you get 304.800610 m.
Why Two Different Feet?
The difference dates back to 1893 when the U.S. adopted the international meter as the basis for length. At that time, the relationship between the foot and the meter was set as 1 foot = 1200/3937 meter, creating the “US survey foot.” Later, in 1959, the international foot was defined as exactly 0.3048 meters for scientific and commercial use. However, the older definition continued to be used for surveying and mapping because changing it would have altered legal land boundaries and coordinates. As a result, two feet existed side by side for decades.
In 2020, the National Institute of Standards and Technology (NIST) and the NGS announced that the US survey foot would be phased out, and the international foot would become the sole standard after December 31, 2022. However, many existing records, maps, and GIS datasets still reference the survey foot, so conversions remain necessary.
How to Choose the Right Foot
Before converting, determine which foot your measurement uses. The two differ by only about 2 parts per million (0.000002 ft per ft), which is negligible for short distances but significant over miles or kilometers.
- US survey foot: Used in older surveying records, state plane coordinate systems, and some GIS data. Look for notes like “US survey ft” or “ftUS.”
- International foot: Used in most engineering, construction, and everyday measurements. If the source does not specify, it is likely the international foot.
For a quick check: if a distance is given in miles or in a state plane coordinate system, it is probably in survey feet. If it is a building dimension or a speed limit, it is almost certainly international feet.
Common Mistakes and Misconceptions
A frequent error is using the international foot factor (0.3048) when the measurement is in survey feet. This introduces a small error that can accumulate in large coordinates. For example, converting 1,000,000 survey feet to meters with the wrong factor gives 304,800 m, while the correct value is 304,800.6096 m – a difference of about 0.61 meters (2 feet). This can shift a property boundary or a map feature noticeably.
Another misconception is that the survey foot is the same as the old “U.S. statute foot.” They are the same thing; the term “statute” was sometimes used historically, but the official name is “US survey foot.”
Also, do not confuse the US survey foot with the “U.S. survey mile.” A survey mile is 5280 survey feet, which is slightly longer than an international mile. But this article focuses on feet-to-meters, so just remember that the conversion factor applies to the foot unit only.
Practical Applications
This conversion is essential in several fields:
- Land surveying: Converting old survey records (in survey feet) to metric for modern mapping.
- GIS and cartography: When merging datasets that use different foot definitions, you must convert all to a common unit.
- Engineering and construction: International projects often require metric dimensions, and legacy plans may be in survey feet.
- Education: Students in surveying and geodesy need to understand the historical and practical differences between the two feet.
For most everyday tasks, the difference is too small to matter. But for legal boundaries, high-precision engineering, or large coordinate systems, using the correct factor is critical.
Limitations of the Formula
The formula is exact by definition, so the only limitation is rounding. The conversion factor 1200/3937 is a repeating decimal, so any decimal representation is approximate. The calculator rounds to six decimal places, which is accurate to about 0.000001 meters (one micrometer) – far beyond typical surveying needs.
Also, this formula only works for converting feet to meters. If you need to convert meters to US survey feet, use the inverse: feet = meters × (3937/1200). The calculator does not do that reverse conversion, but you can easily swap the formula.
Frequently Asked Questions
What is the difference between US survey feet and international feet?
The US survey foot is defined as 1200/3937 meters (≈0.3048006096 m), while the international foot is exactly 0.3048 meters. The difference is about 0.0000006096 meters per foot, which is roughly 2 parts per million. Over a mile, the difference is about 0.0032 feet (about 1 millimeter).
Why did the US have two different feet?
Because the 1959 international agreement redefined the foot for most purposes, but changing survey data would have altered legal boundaries and coordinates. So the old definition was kept for surveying and mapping to avoid disrupting land records. This dual system persisted until 2022, when the survey foot was officially deprecated.
Is the US survey foot still used today?
After December 31, 2022, the international foot is the official standard in the US. However, many existing records, maps, and software still use the survey foot, so you may encounter it in legacy data. For new measurements, you should assume international feet unless the source explicitly says otherwise.
How do I know if my measurement is in survey feet?
Check the source. Surveying records, state plane coordinates, and older GIS data often specify “US survey feet” or “ftUS.” If it is not specified, it is usually safe to assume international feet. When in doubt, ask the data provider or look for metadata.
Can I just multiply by 0.3048 to convert survey feet to meters?
No, that would introduce a small error. Use 1200/3937 for exact survey feet conversion. The error from using 0.3048 is about 0.0000006096 meters per foot, which can add up over large distances. For precise work, always use the correct factor.
What is the conversion factor from meters to US survey feet?
The inverse factor is 3937/1200, which equals approximately 3.2808333333. So to convert meters to survey feet, multiply the meter value by 3937/1200. For example, 1 meter is about 3.280833 survey feet, compared to 3.280840 international feet.
Related
Formula used
in ft | Length (US survey feet) | ft | 100 | 0 out m | Length (meters) | m | ft * 1200 / 3937 | 6
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.