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Angle
Arcminutes to Gradians
Convert arcminutes (arcmin) to gradians (gon). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 arcmin = 0.018519 gon
Arcminutes to Gradians Conversion Table
Common values, ready to copy:
| arcminutes | gradians |
|---|---|
| 1 arcmin | 0.018519 gon |
| 2 arcmin | 0.037037 gon |
| 5 arcmin | 0.092593 gon |
| 10 arcmin | 0.185185 gon |
| 25 arcmin | 0.462963 gon |
| 50 arcmin | 0.925926 gon |
| 100 arcmin | 1.8519 gon |
| 1,000 arcmin | 18.5185 gon |
Formula
gradians = arcminutes × 1.85185185e-2
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 Gradians
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).
Gradians (gon): 1/400 of a full turn; introduced in revolutionary France as a metric-style angle unit (100 gradians = right angle). Common uses: Surveying in some European countries, some scientific calculators have a 'GRAD' mode, mostly historical interest elsewhere.
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 gradians = arcminutes × 1.85185185e-2, 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 gradians 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.