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Angle
Gradians to Arcminutes
Convert gradians (gon) to arcminutes (arcmin). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 gon = 54 arcmin
Gradians to Arcminutes Conversion Table
Common values, ready to copy:
| gradians | arcminutes |
|---|---|
| 1 gon | 54 arcmin |
| 2 gon | 108 arcmin |
| 5 gon | 270 arcmin |
| 10 gon | 540 arcmin |
| 25 gon | 1350 arcmin |
| 50 gon | 2700 arcmin |
| 100 gon | 5400 arcmin |
| 1,000 gon | 54000 arcmin |
Formula
arcminutes = gradians × 54
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 Gradians and Arcminutes
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.
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 = gradians × 54, 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 gradians 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.