One full revolution.
Turns to Arcminutes Converter — turn to arcmin
Convert Turn (turn) to Arcminute (arcmin) using the exact conversion factor (1 turn = 21,600 arcminute). See the formula, worked examples, and conversion table.
Turns to Arcminutes 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 arcminute is 1/60 degree.
Result = input x 6.283185307 / 0.0002908882087.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Turns to Arcminutes
Turn and Arcminute 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 full revolution, and one arcminute is 1/60 degree.
Formula
arcminutes = turns × 21600
This factor comes from each unit's defined relationship to the category's base unit: 1 turn equals 6.28318530718 base units, and 1 arcminute equals 0.000290888208666 base units, so dividing one by the other gives the direct turn-to-arcminute factor of 21600.
Simple example
1 turn × 21600 = 21,600 arcmin
1 turn = 21,600 arcminutes.
Real-world example
90 turn × 21600 = 1,944,000 arcmin
90 turns = 1,944,000 arcminutes.
Conversion table
| Turn (turn) | Arcminute (arcmin) |
|---|---|
| 0 turn | 0 arcmin |
| 30 turn | 648,000 arcmin |
| 45 turn | 972,000 arcmin |
| 90 turn | 1,944,000 arcmin |
| 180 turn | 3,888,000 arcmin |
| 360 turn | 7,776,000 arcmin |
Reverse conversion: Arcminute to Turn
1 arcmin × 0.0000462962963 = 0.0000462963 turn
1 arcminute = 0.0000462963 turns.
turns = arcminutes × 0.0000462962962963
For a page dedicated to this direction, see Arcminute to Turn.
Understanding the Turn (turn)
One full revolution.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many arcminutes are in 1 turn?
1 turn equals 21,600 arcminutes, using the exact defined conversion factor rather than an estimate.
How do I convert turn to arcminute?
Multiply the turn value by 21600. The converter above does this instantly to whatever precision you set.
How do I convert arcminute back to turn?
Use the reverse factor: 1 arcminute equals 0.0000462963 turns. You can also use the swap control in the converter above to flip the direction instantly.
What is a turn?
Turn (turn) is a unit of angle.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
Is the turn to arcminute conversion exact?
Yes. Both turn and arcminute are defined by fixed standards rather than physical artifacts, so the factor of 21600 used above is exact to as many digits as you choose to display.