Arcminutes to Turns (′ to turn)
1 arcminute equals 0.0000462962963 turns (rounded).
How to convert arcminutes to turns
To convert arcminutes to turns, multiply the number of arcminutes by 0.0000462962963. The factor is rounded to 10 significant digits. To go the other way, multiply turns by 21,600.
turns = arcminutes × 0.0000462962963
Example: 10 arcminutes = 0.000462962963 turns.
About these units
Arcminute (′)
One sixtieth of a degree. Used in navigation, astronomy and rifle sighting (minute of angle).
An arcminute is a sixtieth of a degree, which makes it 1/21,600 of a turn or about 0.29 milliradian. The SI Brochure lists it among widely used non-SI units, equal to π/10,800 radian. The units come from Babylonian astronomy and its habit of splitting the degree into 60 parts.
It is a handy size for everyday precision. One arcminute of latitude is roughly one nautical mile, and navigation often writes positions in degrees and decimal minutes. Someone with 20/20 vision can just resolve details about an arcminute apart. The Sun and the Moon each measure around 30 to 32 arcminutes across. Property surveyors use degrees, minutes, and seconds in metes-and-bounds boundary descriptions. Shooters call the unit minute of angle, or MOA, where 1 MOA covers about 1.047 inches at 100 yards.
1 arcminute = 0.0000462962963 turns (approximately).
Sources: BIPM SI Brochure, 9th edition (2019); Wikipedia: Minute and second of arc; Wikipedia: Angular diameter
Turn (turn)
One full revolution, 360 degrees or 2π radians.
A turn is the simplest angle to define: the whole way around, back to the starting direction. It also goes by cycle and revolution, and it equals 2π radians, 360 degrees, or 400 gradians. In the International System of Quantities, rotation is a plain count of revolutions, the angle divided by 2π radians, and it can be negative or exceed one.
Measuring in turns is older than it might seem. Percentage protractors marked in hundredths of a turn have existed since 1922, and in 1962 the astronomer Fred Hoyle proposed the terms centiturn, milliturn, and microturn. A 1974 German standard, DIN 1315, suggested the symbol pla, from the Latin for full angle. Some HP calculators, such as the HP Prime of 2013, accept tr as an angle unit. In CSS, 1turn equals 360deg, so a rule can rotate an element by 1.75turn. Binary angular measurement in computing also treats a full turn as the value 1, which lets integer overflow wrap an angle around for free.
The turn is the reference unit for angle on this site.
Sources: Wikipedia: Turn (angle); MDN Web Docs: CSS <angle>; NIST Guide to the SI, Appendix B.8 (angle conversion factors)
Related conversions
- Turns to arcminutes (reverse)
- Arcminutes to degrees
- Arcminutes to radians
- Arcminutes to gradians
- Arcminutes to arcseconds
- Degrees to turns
- Radians to turns
- Gradians to turns
- Arcseconds to turns
See all angle units.