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Angle
Arcseconds to Gradians
Convert arcseconds (arcsec) to gradians (gon). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 arcsec = 0.000309 gon
Arcseconds to Gradians Conversion Table
Common values, ready to copy:
| arcseconds | gradians |
|---|---|
| 1 arcsec | 0.000309 gon |
| 2 arcsec | 0.000617 gon |
| 5 arcsec | 0.001543 gon |
| 10 arcsec | 0.003086 gon |
| 25 arcsec | 0.007716 gon |
| 50 arcsec | 0.015432 gon |
| 100 arcsec | 0.030864 gon |
| 1,000 arcsec | 0.308642 gon |
Formula
gradians = arcseconds × 3.08641975e-4
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 Arcseconds and Gradians
Arcseconds (arcsec): 1/60 of an arcminute, or 1/3600 of a degree; the unit for very small angles in astronomy. Common uses: Astronomical resolution (a telescope's resolving power in arcseconds), positional precision of stars, and very fine engineering angle specifications.
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 = arcseconds × 3.08641975e-4, 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 arcseconds 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.