Tables of conversion factors

Legend

Legend

definition

=

exactly equal to

approximately equal to

(digits)

indicates the digits repeat infinitely



Length

Length, l

Name of unit

Symbol

Definition

Relation to SI units

angstrom

Å

 

≡ 1.000×10−10 m = 0.1 nm

astronomical unit

AU

Mean distance from Earth to the Sun

= 149 597 870.691 ± 0.030 km

atomic unit of length

au

≡ a0

≈ 5.291 772 083×10−11 ± 19×10−20 m

barley corn

 

≡ 1/3 in

≈ 8.466 667 mm

Bohr radius

a0; b

α/(4πR)

≈ 5.291 772 083×10−11 ± 19×10−20 m

cable length (Imperial)

 

≡ 608 ft

= 185.3184 m

cable length (International)

 

≡ 1/10 NM

= 185.2 m

cable length (U.S.)

 

≡ 720 ft

= 219.456 m

calibre

cal

≡ 1 in

= 25.4 mm

chain (Gunter's; Surveyor's)

ch

≡ 66 ft

= 20.1168 m

chain (Ramsden's; Engineer's)

ch

≡ 100 ft

= 30.48 m

cubit

 

≡ 18 in

= 0.4572 m

ell

ell

≡ 45 in

= 1.143 m

fathom

fm

≡ 6 ft

= 1.8288 m

≈ 1/1000 NM

= 1.852 m

fermi

fm

≡ 1.000×10−15 m

= 1.000×10−15 m

finger

 

≡ 7/8 in

= 22.225 mm

finger (cloth)

 

≡ 4 ½ in

= 0.1143 m

foot (Benoît)

ft (Ben)

 

≈ 0.304 799 735 m

foot (Clarke's; Cape)

ft (Cla)

 

≈ 0.304 797 265 4 m

foot (Indian)

ft Ind

 

≈ 0.304 799 514 m

foot (International)

ft

≡ 1/3 yd

= 0.3048 m

foot (Sear's)

ft (Sear)

 

≈ 0.304 799 47 m

foot (U.S. Survey)

ft (US)

≡ 1200/3937 m [1]

≈ 0.304 800 610 m

furlong

fur

≡ 660 ft

= 201.168 m

geographical mile

mi

≡ 6082 ft

= 1853.7936 m

hand

 

≡ 4 in

= 0.1016 m

inch

in

≡ 1/36 yd

= 25.4 mm

league

lea

≡ 3 mi

= 4828.032 m

light-day

 

≡ 24 light-hours

= 2.590 206 837 12×1013 m

light-hour

 

≡ 60 light-minutes

= 1.079 252 848 8×1012 m

light-minute

 

≡ 60 light-seconds

= 1.798 754 748×1010 m

light-second

 

 

≡ 2.997 924 58×108 m

light-year

l.y.

c0 × 86 400 × 365.25

= 9.460 730 472 580 8×1015 m

line

ln

≡ 1/12 in (Klein 1988, 63)

≈ 2.116 667 mm

link (Gunter's; Surveyor's)

lnk

≡ 1/100 ch

= 0.201 168 m

link (Ramsden's; Engineer's)

lnk

≡ 1 ft

= 0.3048 m

metre (SI base unit)

m

≡ 1 m

= 1 m

mickey

 

≡ 1/200 in

= 1.27×10−4 m

micron

µ

 

≡ 1.000×10−6 m

mil; thou

mil

≡ 1.000×10−3 in

= 2.54×10−5 m

mile

mi

≡ 1760 yd = 5280 ft

= 1609.344 m

mile (U.S. Survey)

mi

≡ 5280 ft (US)

= 5280 × 1200/3937 m ≈ 1609.347 219 m

nail (cloth)

 

≡ 2 ¼ in

= 57.15 mm

nautical league

NL; nl

≡ 3 NM

= 5556 m

nautical mile

NM; nm

 

≡ 1852 m

nautical mile (Admiralty)

NM (Adm); nm (Adm)

≡ 6080 ft

= 1853.184 m

pace

 

≡ 2.5 ft

= 0.762 m

palm

 

≡ 3 in

= 76.2 mm

parsec

pc

≈ 180 × 60 × 60/π AU

≈ 206 264.806 25 AU
= 3.261 563 776 9 ± 6 ×10−10 light-years

= 3.085 677 581 3×1016 ± 6×106 m

point (ATA)

pt

≡ 0.013837 in

= 0.351 459 8 mm

point (Didot; European)

pt

 

≡ 0.376 065 mm

point (metric)

pt

≡ 3/8 mm

= 0.375 mm

point (PostScript)

pt

≡ 1/72 in

≈ 0.352 778 mm

quarter

 

≡ ¼ yd

= 0.2286 m

rod; pole; perch

rd

≡ 16 ½ ft

= 5.0292 m

rope

rope

≡ 20 ft

= 6.096 m

span

 

≡ 6 in

= 0.1524 m

span (cloth)

 

≡ 9 in

= 0.2286 m

spat[citation needed]

S

≡ 1012 m

= 1 Tm

stick

 

≡ 2 in

= 50.8 mm

stigma; pm

 

≡ 1.000×10−12 m

≡ 1.000×10−12 m

telegraph mile

mi

≡ 6087 ft

= 1855.3176 m

twip

twp

≡ 1/1440 in

≈ 1.763 889×10−5 m

x unit; siegbahn

xu

 

≈ 1.0021×10−13 m

yard (International)

yd

≡3 ft ≡ 0.9144 m [1]

= 0.9144 m

Area

Area, A

Name of unit

Symbol

Definition

Relation to SI units

acre

ac

≡ 10 sq ch = 4840 sq yd

= 4046.856 422 4 m²

are

a

 

≡ 100 m²

barn

b

 

≡ 10−28

barony

 

≡ 4000 ac

= 1.618 742 568 96×107

board

bd

≡ 1 in × 1 ft

= 7.741 92×10−3

boiler horsepower equivalent direct radiation

bhp EDR

≡ (1 ft²) (1 bhp) / (240 BTUIT/h)

≈ 12.958 174 m²

circular inch

circ in

≡ π/4 in²

≈ 5.067 075×10−4

circular mil; circular thou

circ mil

≡ π/4 mil²

≈ 5.067 075×10−10

cord

 

≡ 192 bd

= 1.486 448 64 m²

dunam

 

≡ 1000 m²

= 1000 m²

hectare

ha

≡ 10 000 m²

= 0.01 km²

hide

 

≡ 100 ac

= 4.046 856 422 4×105

rood

ro

≡ ¼ ac

= 1011.714 105 6 m²

square chain

sq ch

≡ 1 ch²

= 404.685 642 24 m²

square foot

sq ft

≡ 1 ft²

= 9.290 304×10−2

square inch

sq in

≡ 1 in²

= 6.4516×10−4

square kilometre

km²

≡ 1 km²

= 106

square link

sq lnk

≡ 1 lnk²

= 4.046 856 422 4×10−2

square metre (SI unit)

≡ 1 m × 1 m

= 1 m²

square mil; square thou

sq mil

≡ 1 mil²

= 6.4516×10−10

square mile; section

sq mi

≡ 1 mi²

= 2.589 988 110 336×106

square rod/pole/perch

sq rd

≡ 1 rd²

= 25.292 852 64 m²

square U.S. Survey mile

sq mi

≡ 1 mi (US)²

≈ 2.589 998×106

square yard

sq yd

≡ 1 yd²

= 0.836 127 36 m²

stremma

 

≡ 1000 m²

= 1000 m²

township

 

≡ 36 sq mi (US)

≈ 9.323 994×107

yardland

 

≡ 30 ac

= 1.214 056 926 72×105

Volume

Volume, V

Name of unit

Symbol

Definition

Relation to SI units

cubic metre (SI unit)

≡ 1 m × 1 m × 1 m

 

litre

L

 

≡ 1 dm³

lambda

λ

≡ 1 mm³

= 1 μL

drop (metric)

 

≡ 1/20 mL

= 0.05 mL

minim (Imperial)

min

≡ 1/480 fl oz (Imp) = 1/60 fl dr (Imp)

≈ 0.059 193 880 208 333 mL

minim (U.S.)

min

≡ 1/480 US fl oz = 1/60 US fl dr

= 0.061 611 519 921 875 mL

drop (U.S.) (alt)

gtt

≡ 1/456 US fl oz

≈ 0.064 854 231 mL

drop (Imperial) (alt)

gtt

≡ 1/1824 gi (Imp)

≈ 0.077 886 684 mL

drop (U.S.)

gtt

≡ 1/360 US fl oz

= 0.082 148 693 229 1(6) mL

drop (medical)

 

≡ 1/12 mL

= 0.08(3) mL

drop (Imperial)

gtt

≡ 1/288 fl oz (Imp)

= 0.098 656 467 013 (8) mL

dash (U.S.)

 

≡ 1/96 US fl oz = ½ US pinch

= 0.308 057 599 609 375 mL

dash (Imperial)

 

≡ 1/384 gi (Imp) = ½ pinch (Imp)

= 0.369 961 751 302 08(3) mL

pinch (U.S.)

 

≡ 1/48 US fl oz = ⅛ US tsp

= 0.616 115 199 218 75 mL

pinch (Imperial)

 

≡ 1/192 gi (Imp) = ⅛ tsp (Imp)

= 0.739 923 502 604 1(6) mL

fluid scruple (Imperial)

fl s

≡ 1/24 fl oz (Imp)

= 1.183 877 604 1(6) mL

fluid drachm (Imperial)

fl dr

≡ ⅛ fl oz (Imp)

= 3.551 632 812 5 mL

fluid dram (U.S.); U.S. fluidram

fl dr

≡ ⅛ US fl oz

= 3.696 691 195 312 5 mL

teaspoon (Canadian)

tsp

≡ 1/6 fl oz (Imp)

≈ 4.735 510 416 667 mL

teaspoon (U.S.)

tsp

≡ 1/6 US fl oz

= 4.928 921 595 mL

teaspoon (metric)

 

 

≡ 5 mL

teaspoon (Imperial)

tsp

≡ 1/24 gi (Imp)

= 5.919 388 020 8(3) mL

dessertspoon (Imperial)

 

≡ 1/12 gi (Imp)

= 11.838 776 041 (6) mL

tablespoon (Canadian)

tbsp

≡ ½ fl oz (Imp)

= 14.206 531 25 mL

tablespoon (U.S.)

tbsp

≡ ½ US fl oz

= 14.786 764 782 5 mL

tablespoon (metric)

 

 

≡ 15 mL

cubic inch

cu in

≡ 1 in³

= 16.387 064 mL

tablespoon (Imperial)

tbsp

≡ 5/8 fl oz (Imp)

= 17.758 164 062 5 mL

pony

 

≡ 3/4 US fl oz

= 22.180 147 171 875 mL

fluid ounce (Imperial)

fl oz (Imp)

≡ 1/160 gal (Imp)

= 28.413 062 5 mL

fluid ounce (U.S.)

fl oz (US)

≡ 1/128 gal (US)

= 29.573 529 562 5 mL

shot

 

≡ 1 US fl oz

= 29.573 529 562 5 mL

jigger

 

≡ 1½ US fl oz

= 44.360 294 343 75 mL

gill (U.S.)

gi (US)

≡ 4 US fl oz

= 118.294 118 25 mL

gill (Imperial); Noggin

gi (Imp); nog

≡ 5 fl oz (Imp)

= 142.065 312 5 mL

cup (Canadian)

c (CA)

≡ 8 fl oz (Imp)

= 227.3045 mL

cup (U.S.)

c (US)

≡ 8 US fl oz ≡ 1/16 gal (US)

= 236.588 236 5 mL

cup (metric)

c

 

≡ 250 mL

breakfast cup

 

≡ 10 fl oz (Imp)

= 284.130 625 mL

pint (U.S. fluid)

pt (US fl)

≡ ⅛ gal (US)

= 473.176 473 mL

pint (U.S. dry)

pt (US dry)

≡ 1/64 bu (US lvl) ≡ ⅛ gal (US dry)

= 0.550 610 471 357 5 L

pint (Imperial)

pt (Imp)

≡ ⅛ gal (Imp)

= 0.568 261 25 L

fifth

 

≡ 1/5 US gal

= 0.757 082 356 8 L

quart (U.S. fluid)

qt (US)

≡ ¼ gal (US fl)

= 0.946 352 946 L

quart (U.S. dry)

qt (US)

≡ 1/32 bu (US lvl) = ¼ gal (US dry)

= 1.101 220 942 715 L

quart (Imperial)

qt (Imp)

≡ ¼ gal (Imp)

= 1.136 522 5 L

pottle; quartern

 

≡ ½ gal (Imp) = 80 fl oz (Imp)

= 2.273 045 L

board-foot

fbm

≡ 144 cu in

= 2.359 737 216 L

gallon (U.S. fluid; Wine)

gal (US)

≡ 231 cu in

= 3.785 411 784 L

gallon (U.S. dry)

gal (US)

≡ ⅛ bu (US lvl)

= 4.404 883 770 86 L

gallon (Imperial)

gal (Imp)

= 4.546 09 L

beer gallon

beer gal

≡ 282 cu in

= 4.621 152 048 L

peck (U.S. dry)

pk

≡ ¼ US lvl bu

= 8.809 767 541 72 L

peck (Imperial)

pk

≡ 2 gal (Imp)

= 9.092 18 L

bucket (Imperial)

bkt

≡ 4 gal (Imp)

= 18.184 36 L

timber foot

 

≡ 1 cu ft

= 28.316 846 592 L

cubic foot

cu ft

≡ 1 ft × 1 ft × 1 ft

= 28.316 846 592 L

firkin

 

≡ 9 gal (US)

= 34.068 706 056 L

bushel (U.S. dry level)

bu (US lvl)

≡ 2150.42 cu in

= 35.239 070 166 88 L

bushel (Imperial)

bu (Imp)

≡ 8 gal (Imp)

= 36.368 72 L

bushel (U.S. dry heaped)

bu (US)

≡ 1 ¼ bu (US lvl)

= 44.048 837 708 6 L

strike (U.S.)

 

≡ 2 bu (US lvl)

= 70.478 140 333 76 L

strike (Imperial)

 

≡ 2 bu (Imp)

= 72.737 44 L

kilderkin

 

≡ 18 gal (Imp)

= 81.829 62 L

sack (U.S.)

 

≡ 3 bu (US lvl)

= 105.717 210 500 64 L

sack (Imperial); bag

 

≡ 3 bu (Imp)

= 109.106 16 L

barrel (U.S. dry)

bl (US)

≡ 105 qt (US) = 105/32 bu (US lvl)

= 115.628 198 985 075 L

barrel (U.S. fluid)

fl bl (US)

≡ 31½ gal (US)

= 119.240 471 196 L

coomb

 

≡ 4 bu (Imp)

= 145.474 88 L

barrel (petroleum)

bl

≡ 42 gal (US)

= 158.987 294 928 L

barrel (Imperial)

bl (Imp)

≡ 36 gal (Imp)

= 163.659 24 L

hogshead (U.S.)

hhd (US)

≡ 2 fl bl (US)

= 238.480 942 392 L

seam

 

≡ 8 bu (US lvl)

= 281.912 561 335 04 L

quarter; pail

 

≡ 8 bu (Imp)

= 290.949 76 L

hogshead (Imperial)

hhd (Imp)

≡ 2 bl (Imp)

= 327.318 48 L

cord-foot

 

≡ 16 cu ft

= 0.453 069 545 472 m³

butt, pipe

 

≡ 126 gal (wine)

= 0.476 961 884 784 m³

perch

per

≡ 16½ ft × 1½ ft × 1 ft

= 0.700 841 953 152 m³

cubic yard

cu yd

≡ 27 cu ft

= 0.764 554 857 984 m³

tun

 

≡ 252 gal (wine)

= 0.953 923 769 568 m³

displacement ton

 

≡ 35 cu ft

= 0.991 089 630 72 m³

water ton

 

≡ 28 bu (Imp)

= 1.018 324 16 m³

freight ton

 

≡ 40 cu ft

= 1.132 673 863 68 m³

wey (U.S.)

 

≡ 40 bu (US lvl)

= 1.409 562 806 675 2 m³

load

 

≡ 50 cu ft

= 1.415 842 329 6 m³

register ton

 

≡ 100 cu ft

= 2.831 684 659 2 m³

last

 

≡ 80 bu (Imp)

= 2.909 497 6 m³

cord (firewood)

 

≡ 8 ft × 4 ft × 4 ft

= 3.624 556 363 776 m³

cubic fathom

cu fm

≡ 1 fm × 1 fm × 1 fm

= 6.116 438 863 872 m³

acre-inch

 

≡ 1 ac × 1 in

= 102.790 153 128 96 m³

acre-foot

 

≡ 1 ac × 1 ft

= 1233.481 837 547 52 m³

cubic mile

cu mi

≡ 1 mi³

= 4.168 181 825 440 579 584 km³

Angle

Angle

Name of unit

Symbol

Definition

Relation to SI units

radian (SI unit)

rad

 

≡ 1 rad

centesimal second of arc

"

≡ 1 gr/10000

≈ 1.570 796 µrad

arcsecond

"

≡ 1°/3600

≈ 4.848 137 µrad

centesimal minute of arc

'

≡ 1 gr/100

≈ 0.157 080 mrad

minute of arc

'

≡ 1°/60

≈ 0.290 888 mrad

angular mil

µ

≡ 2π/6400 rad

≈ 0.981 748 mrad

grad; gradian; gon

gr

≡ 2π/400 rad = 0.9°

≈ 15.707 963 mrad

degree (of arc)

°

≡ π/180 rad

≈ 17.453 293 mrad

sign

 

≡ 30°

≈ 0.523 599 rad

octant

 

≡ 45°

≈ 0.785 398 rad

sextant

 

&