Foot to Yard

Free instant foot to yard converter. 1 ft = 0.333333 yd.

0.333333
Formula
1 ft = 0.333333 yd

Common Foot to Yard values

Common Foot to Yard conversion values.
Foot (ft)Yard (yd)
10.333333
51.66667
103.33333
258.33333
5016.6667
10033.3333
500166.667
1000333.333

How does Foot to Yard conversion work?

Type a value in the Foot (ft) field and the equivalent in Yard (yd) appears instantly to the right. The math uses the exact formula shown above โ€” no rounding errors, no approximations beyond standard floating-point precision. Use the swap button to flip the units and see the inverse conversion.

Foot. Twelve inches, or about the length of a sheet of letter paper. Standard in US construction, ceiling heights, and aviation.

Yard. Three feet, or about the length of a long stride. Common in American football fields and fabric measurement.

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๐ŸŽฏ Accurate conversions

Conversion factors come from the official standard (NIST, BIPM, ISO definitions where applicable). Values are precise to standard floating-point limits.

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How it works โ€” the formula

Linear: value_in_base = value ร— scale For length, scale = metres per unit (e.g. 1 ft = 0.3048 m exactly)

Every length unit is defined in terms of the metre, the SI base unit. Since 1959 the international yard and pound agreement fixed 1 yd = 0.9144 m exactly, which gives 1 ft = 0.3048 m and 1 in = 0.0254 m exactly. The metre itself is defined by the speed of light: the distance light travels in 1/299,792,458 second (CGPM 1983).

Worked examples

Example 1
Imperial โ†’ metric
Inputs:
5 ft = ? m
Output:
5 ร— 0.3048 = 1.524 m exactly
Example 2
Metric โ†’ imperial
Inputs:
100 km = ? mi
Output:
100 / 1.609344 โ‰ˆ 62.1371 mi
Example 3
Round-trip
Inputs:
10 in โ†’ cm โ†’ in
Output:
10 ร— 2.54 = 25.4 cm; 25.4 / 2.54 = 10.0000 in (exact within IEEE 754)

Limitations

  • Conversion factors between SI and US-customary are exact since the 1959 agreement; older "US survey foot" values differ by ~2 ppm and are deprecated as of 2023.
  • Astronomical units (light-year, parsec) are convertible but rarely useful at terrestrial scale.
  • Floating-point representation imposes a ~15-significant-digit ceiling on round-trip accuracy.
  • Conversion factor of 1 nautical mile = 1,852 m exactly applies to the international nautical mile, not the rarely-used US/British nautical mile (1,853.184 m).

Length conversions are exact rational arithmetic for SI โ†” US-customary pairs; trailing-digit differences come from binary floating-point representation only.

Frequently asked

What is the formula for converting Foot to Yard?+
The formula is: 1 ft = 0.333333 yd. Type any value into the calculator above and the result appears instantly.
How do I convert Yard back to Foot?+
Click the swap button (โ‡„) above to go to the Yard โ†’ Foot converter, or use the inverse formula derived from the one shown.
How accurate is the conversion?+
Conversion factors used here are exact rational values from NIST SP 811 and the BIPM SI brochure (e.g. 1 ft = 0.3048 m exactly, 1 lb = 0.45359237 kg exactly). Trailing-digit differences vs hand calculation come only from binary floating-point representation, never from the conversion factor itself.
Where do these conversion factors come from?+
Length and mass factors come from the 1959 international yard-and-pound agreement; SI base units (metre, kilogram, second, kelvin) come from the 2019 BIPM redefinition; energy and pressure factors are NIST SP 811 reference values. Each editorial section above lists the specific source for that category.
Can I copy the conversion factor for use elsewhere?+
Yes. The factor in the formula above is the exact rational value used internally; copying it into Excel or another tool reproduces the result to floating-point precision.

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