One arcminute is 1/60 degree.
Arcminutes to Turns Converter — arcmin to turn
Convert Arcminute (arcmin) to Turn (turn) using the exact conversion factor (1 arcminute = 0.0000462963 turn). See the formula, worked examples, and conversion table.
Arcminutes to Turns converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
Context values
Some unit families need one extra value for a physically accurate result.
One full revolution.
Result = input x 0.0002908882087 / 6.283185307.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcminutes to Turns
Arcminute and Turn are the two standard ways to measure angles — degrees for everyday and navigational use, radians for calculus and physics — so converting between them comes up constantly in math, engineering, and programming. Specifically: One arcminute is 1/60 degree, and one full revolution.
Formula
turns = arcminutes × 0.0000462962962963
This factor comes from each unit's defined relationship to the category's base unit: 1 arcminute equals 0.000290888208666 base units, and 1 turn equals 6.28318530718 base units, so dividing one by the other gives the direct arcminute-to-turn factor of 0.0000462962962963.
Simple example
1 arcmin × 0.0000462962963 = 0.0000462963 turn
1 arcminute = 0.0000462963 turns.
Real-world example
90 arcmin × 0.0000462962963 = 0.0041666667 turn
90 arcminutes = 0.0041666667 turns.
Conversion table
| Arcminute (arcmin) | Turn (turn) |
|---|---|
| 0 arcmin | 0 turn |
| 30 arcmin | 0.0013888889 turn |
| 45 arcmin | 0.0020833333 turn |
| 90 arcmin | 0.0041666667 turn |
| 180 arcmin | 0.0083333333 turn |
| 360 arcmin | 0.0166666667 turn |
Reverse conversion: Turn to Arcminute
0.0000462963 turn × 21600 = 1.00000008 arcmin
0.0000462963 turns = 1.00000008 arcminutes.
arcminutes = turns × 21600
For a page dedicated to this direction, see Turn to Arcminute.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Understanding the Turn (turn)
One full revolution.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many turns are in 1 arcminute?
1 arcminute equals 0.0000462963 turns, using the exact defined conversion factor rather than an estimate.
How do I convert arcminute to turn?
Multiply the arcminute value by 0.0000462962963. The converter above does this instantly to whatever precision you set.
How do I convert turn back to arcminute?
Use the reverse factor: 1 turn equals 21,600 arcminutes. You can also use the swap control in the converter above to flip the direction instantly.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
What is a turn?
Turn (turn) is a unit of angle.
Is the arcminute to turn conversion exact?
Yes. Both arcminute and turn are defined by fixed standards rather than physical artifacts, so the factor of 0.0000462962963 used above is exact to as many digits as you choose to display.