Reckoning

Reckoning / Measure / Length

Measure · 33 units

Length

Since 1983 the metre has been defined by the speed of light, and since 1959 the inch, foot, yard and mile have been defined as exact fractions of the metre. Every length unit below is therefore exact unless it is marked otherwise.

Convert length

Then and now

Before the 1959 agreement the American and British inches differed slightly, and the US kept a separate survey foot (1200/3937 m) for land measurement until 2023. Nautical miles also differed: Britain used 6080 feet until 1970.

All length units

“Exact” means the unit is defined as an exact multiple of the SI unit; the decimal is printed in full when it ends. Rows marked historical or obsolete are kept for reading old documents.

UnitDefined asIn SIStatusSource
SI
micrometre µm10⁻⁶ m (once called the micron)0.000 001 mexactBIPM SI Brochure
millimetre mm1/1000 m0.001 mexactBIPM SI Brochure
centimetre cm1/100 m0.01 mexactBIPM SI Brochure
metre mSI base unit: the length light travels in vacuum in 1/299 792 458 s1 mexactBIPM SI Brochure
kilometre km1000 m1 000 mexactBIPM SI Brochure
Imperial / US
thou (mil) mil1/1000 inch0.000 025 4 mexactNIST Handbook 44
line1/12 inch0.002 116 666 666 67… mexact historicalNIST Handbook 44
inch inexactly 25.4 mm0.025 4 mexact
Before 1959 the US inch was 1/39.37 m and the British inch differed in the sixth figure.
Yard and pound, 1959
foot ft12 inches = 0.3048 m0.304 8 mexactYard and pound, 1959
yard yd3 feet = 0.9144 m0.914 4 mexactYard and pound, 1959
mile (statute) mi5280 feet = 1609.344 m1 609.344 mexactYard and pound, 1959
Nautical
fathom ftm6 feet = 1.8288 m1.828 8 mexactNIST Handbook 44
shackle (of anchor cable)15 fathoms = 90 feet27.432 mexactNIST Handbook 44
cable (international)1/10 international nautical mile = 185.2 m185.2 mexact
The British cable was 608 feet (1/10 of the old Admiralty mile); the US Navy cable was 120 fathoms.
IHO 1929 / BIPM
nautical mile NMexactly 1852 m1 852 mexact
Chosen as close to one minute of latitude, which varies from about 1843 m at the equator to 1862 m at the poles.
IHO 1929 / BIPM
Admiralty nautical mile6080 feet = 1853.184 m1 853.184 mexact obsolete
Used in Britain until 1970.
NIST Handbook 44
US nautical mile (before 1954)1853.248 m1 853.248 mexact obsoleteNIST Handbook 44
geographical mileone minute of longitude on the equator of the WGS 84 ellipsoid, about 1855.32 m1 855.324 846 55… mapprox. historicalWGS 84
league (nautical)3 nautical miles5 556 mexact historicalNIST Handbook 44
Surveying
link (Gunter’s)7.92 inches = 1/100 chain0.201 168 mexact historicalNIST Handbook 44
rod (pole, perch)16½ feet5.029 2 mexact historicalNIST Handbook 44
chain (Gunter’s)66 feet = 4 rods = 100 links20.116 8 mexact historicalNIST Handbook 44
furlong10 chains = 220 yards201.168 mexact
Still used in horse racing.
NIST Handbook 44
US surveying
US survey foot1200/3937 m0.304 800 609 601… mexact obsolete
Withdrawn on 1 January 2023; it was 2 parts in a million longer than the international foot.
NIST: US survey foot
Old English
nail (cloth)2¼ inches = 1/16 yard0.057 15 mexact historicalNIST Handbook 44
palm3 inches0.076 2 mexact historicalNIST Handbook 44
hand4 inches (still used for the height of horses)0.101 6 mexactNIST Handbook 44
span9 inches0.228 6 mexact historicalNIST Handbook 44
cubit18 inches (traditional English value)0.457 2 mapprox. historical
The cubit varied widely between peoples and periods.
NIST Handbook 44
pace (military)2½ feet0.762 mapprox. historicalNIST Handbook 44
league (statute)3 statute miles4 828.032 mexact historicalNIST Handbook 44
Typography
point (desktop publishing) pt1/72 inch0.000 352 777 777 778… mexact
Older printers’ points were slightly smaller (about 1/72.27 inch).
NIST SP 811
Astronomy
astronomical unit auexactly 149 597 870 700 m149 597 870 700 mexactIAU 2012, Res. B2