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Angle
Arcminutes to Turns
Convert arcminutes (arcmin) to turns (tr). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 arcmin = 4.6296e-5 tr
Arcminutes to Turns Conversion Table
Common values, ready to copy:
| arcminutes | turns |
|---|---|
| 1 arcmin | 4.6296e-5 tr |
| 2 arcmin | 9.2593e-5 tr |
| 5 arcmin | 0.000231 tr |
| 10 arcmin | 0.000463 tr |
| 25 arcmin | 0.001157 tr |
| 50 arcmin | 0.002315 tr |
| 100 arcmin | 0.00463 tr |
| 1,000 arcmin | 0.046296 tr |
Formula
turns = arcminutes × 4.62962963e-5
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 Arcminutes and Turns
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).
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.
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 turns = arcminutes × 4.62962963e-5, 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 arcminutes and turns 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.