Length conversion family

Length unit conversions

Length is the SI base quantity with dimension L; the metre (m) is its SI base unit.

Five named units

Unit and factor reference

Base: m
Factors are stored as decimal strings relative to meter (m).
UnitSymbolFactor to baseRelationshipDefinition and variant
meterm1defined

The meter is the U.S. English spelling of the metre, the SI base unit of length, defined through the fixed numerical value of the speed of light in vacuum.

The base factor is exactly 1 by the family base-unit choice.

kilometerkm1000exact

A kilometer is the SI decimal multiple formed by applying kilo (10³) to the meter: 1 km = 1000 m.

The decimal-prefix relationship is exact.

centimetercm0.01exact

A centimeter is the SI decimal submultiple formed by applying centi (10⁻²) to the meter: 1 cm = 0.01 m.

The decimal-prefix relationship is exact.

milemi1609.344defined

This mile is the international mile of 5280 international feet: 1 mi = 1609.344 m exactly.

Named variant: International mile based on the international foot; not the legacy U.S. survey mile or nautical mile.

The terminating base factor is exact for the international mile.

footft0.3048defined

This foot is the international foot, defined as exactly 0.3048 meter.

Named variant: International foot; the U.S. survey foot (1200/3937 m) is a distinct legacy unit.

The terminating base factor is exact.

Every ordered pair

All 20 length calculators

Evidence and review status

This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.

Family assumptions and limits

  • This family converts non-negative length magnitudes; it does not infer direction, path, displacement, or measurement uncertainty.
  • Foot and mile mean the international foot and international mile. U.S. survey-foot values are outside this family and can differ in legacy geodetic records.
  • A conversion does not add significant figures to the source measurement.

Authoritative references