Area conversion family

Area unit conversions

Area is a derived quantity representing the extent of a surface and has dimension L²; its coherent SI unit is the square meter (m²).

Five named units

Unit and factor reference

Base: m²
Factors are stored as decimal strings relative to square meter (m²).
UnitSymbolFactor to baseRelationshipDefinition and variant
square meter1defined

A square meter is the area of a square whose side length is one meter; it is the coherent SI unit for area.

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

square kilometerkm²1000000exact

A square kilometer is (1 km)², so 1 km² = (1000 m)² = 1,000,000 m².

The SI-prefix and squared-unit relationship is exact.

hectareha10000defined

A hectare is a non-SI decimal area unit used for land: 1 ha = 1 hm² = 10,000 m².

Named variant: Land-area unit; not the SI prefix hecto used alone.

The relationship to the square meter is exact.

acreac4046.8564224defined

An acre is 43,560 square international feet, which is exactly 4,046.8564224 m².

Named variant: International-foot-based acre; legacy survey-foot-based acreage may use a different SI equivalent.

The terminating base factor is exact for an acre based on the international foot.

square footft²0.09290304defined

A square foot is the area of a square one international foot on each side: 1 ft² = (0.3048 m)² = 0.09290304 m² exactly.

Named variant: International-foot-based square foot; not a square U.S. survey foot.

The terminating base factor is exact for the international foot.

Every ordered pair

All 20 area 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 area magnitudes; it does not calculate area from dimensions or validate a parcel boundary.
  • Acre and square foot are based on the international foot. Legacy survey-foot-derived areas are outside this family.
  • The hectare is included as a non-SI decimal unit used for land area; it is exactly 10,000 m².

Authoritative references