Gradians to Arcseconds
Convert gradians to arcseconds instantly — one gradian is 3240 arcseconds.
| Gradians | Arcseconds |
|---|---|
| 1 grad | 3240 ″ |
| 2 grad | 6480 ″ |
| 3 grad | 9720 ″ |
| 5 grad | 16200 ″ |
| 10 grad | 32400 ″ |
| 25 grad | 81000 ″ |
| 50 grad | 162000 ″ |
| 100 grad | 324000 ″ |
How to use
- Enter a value in the Gradians field.
- The Arcseconds figure appears immediately — no button to press.
- Typing in the Arcseconds field converts back to Gradians the same way.
- Use the reference table for the values that come up most often.
Gradians to Arcseconds formula
The factor from gradians to arcseconds is 3240.
″ = grad × 3240
Put another way, one gradian is exactly 3,240 arcseconds.
Why this factor: the gradian and the arcsecond are both defined against the degree, so dividing one definition by the other gives 3240 directly. Both definitions are set out in full below.
To go the other way, divide by 3240 — or use the Arcseconds to Gradians converter, which is the same calculation reversed.
Worked example
Start with 45 grad. Multiply by 3240 to get 145800 ″.
45 grad × 3240 = 145800 ″
The converter above does this for any value you type, in either direction.
What is a gradian?
A gradian, or gon, divides a right angle into 100 parts instead of 90.
Definition: A full turn is 400 gradians, so one gradian is exactly 0.9 degree.
Where it is used: European surveying and civil engineering, and still a mode on most scientific calculators.
What is an arcsecond?
An arcsecond is one 3,600th of a degree — the precision unit of astronomy.
Definition: Exactly 1/3600 degree, or 1/60 arcminute. Symbol is the double prime (″).
Where it is used: Telescope resolution and seeing, stellar parallax (the basis of the parsec), and precision surveying.
Gradians vs Arcseconds
The gradian and the arcsecond belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many arcseconds are in a gradian?
One gradian equals 3240 arcseconds.
What is the formula to convert gradians to arcseconds?
Multiply the number of gradians by 3240. To reverse it, divide by 3240 instead.
How do I convert arcseconds back to gradians?
Divide by 3240, which is the same as multiplying by 0.000308641975.
How many arcseconds are in 10 gradians?
10 grad works out to 32400 ″.
How is the gradian defined?
A full turn is 400 gradians, so one gradian is exactly 0.9 degree.