Home› Conversions› Angle› Turns to Arcminutes
Angle
Turns to Arcminutes
Convert turns (tr) to arcminutes (arcmin). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 tr = 21600 arcmin
Turns to Arcminutes Conversion Table
Common values, ready to copy:
| turns | arcminutes |
|---|---|
| 1 tr | 21600 arcmin |
| 2 tr | 43200 arcmin |
| 5 tr | 108000 arcmin |
| 10 tr | 216000 arcmin |
| 25 tr | 540000 arcmin |
| 50 tr | 1.0800e+6 arcmin |
| 100 tr | 2.1600e+6 arcmin |
| 1,000 tr | 2.1600e+7 arcmin |
Formula
arcminutes = turns × 21600
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
About Turns and Arcminutes
Turns (tr): A full revolution; the most natural way to describe rotation (one turn = 360° = 2π rad = 400 gon). Common uses: Engineering specifications for rotation (number of turns of a bolt, a screw thread, or a knob), and clear communication when degree confusion is a risk.
Arcminutes (arcmin): 1/60 of a degree; used since ancient astronomy for fine angle measurement. Common uses: Astronomy (small angular sizes of celestial objects), navigation (latitude minutes), and optometry (visual acuity reference).
How the conversion works
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
The exact relationship is arcminutes = turns × 21600, which the calculator at the top of this page applies in both directions. Type into either field and the other updates immediately.
When this conversion matters
Converting between turns and arcminutes comes up wherever angle measurements move between systems — from one country's conventions to another's, from a scientific reference to a practical specification, or from one industry's working unit to another's. The calculator and reference table above cover the everyday range; for unusual values you can type any number into either field.