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Angle
Gradians to Arcseconds
Convert gradians (gon) to arcseconds (arcsec). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 gon = 3240 arcsec
Gradians to Arcseconds Conversion Table
Common values, ready to copy:
| gradians | arcseconds |
|---|---|
| 1 gon | 3240 arcsec |
| 2 gon | 6480 arcsec |
| 5 gon | 16200 arcsec |
| 10 gon | 32400 arcsec |
| 25 gon | 81000 arcsec |
| 50 gon | 162000 arcsec |
| 100 gon | 324000 arcsec |
| 1,000 gon | 3.2400e+6 arcsec |
Formula
arcseconds = gradians × 3240
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 Arcseconds
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.
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.
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 arcseconds = gradians × 3240, 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 arcseconds 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.