arcseconds to gradians Converter
1 arcsecond is equal to 0.000308642 gradians, or 0.000277778 deg.
Enter a value in the converter to get the result. This page explains the formula, works through examples and lists common values in a conversion table.
How to convert arcseconds to gradians
Divide the value in arcseconds by 3,240 to get gradians.
grad = ÷ 3,240- 1Start with the value in arcseconds: 1 arcsec.
- 2Apply the formula: ÷ 3,240 = 0.000308641975309.
- 3Round to the precision you need: 0.000308642 grad.
Examples
arcseconds to gradians conversion table
| arcseconds (arcsec) | gradians (grad) | degrees (deg) |
|---|---|---|
| 1 arcsec | 0.000308642 grad | 0.000277778 deg |
| 5 arcsec | 0.00154321 grad | 0.00138889 deg |
| 10 arcsec | 0.00308642 grad | 0.00277778 deg |
| 20 arcsec | 0.00617284 grad | 0.00555556 deg |
| 25 arcsec | 0.00771605 grad | 0.00694444 deg |
| 50 arcsec | 0.0154321 grad | 0.0138889 deg |
| 75 arcsec | 0.0231481 grad | 0.0208333 deg |
| 100 arcsec | 0.0308642 grad | 0.0277778 deg |
| 150 arcsec | 0.0462963 grad | 0.0416667 deg |
| 200 arcsec | 0.0617284 grad | 0.0555556 deg |
| 500 arcsec | 0.154321 grad | 0.138889 deg |
| 1,000 arcsec | 0.308642 grad | 0.277778 deg |
1 arcsecond in other units
The same value in every other unit of this category. Each row links to the full conversion.
| Unit | Formula | 1 arcsec equals |
|---|---|---|
| arcseconds to radians | rad = ÷ 206,264.8 | 0.00000484814 rad |
| arcseconds to degrees | deg = ÷ 3,600 | 0.000277778 deg |
| arcseconds to gradians | grad = ÷ 3,240 | 0.000308642 grad |
| arcseconds to arcminutes | arcmin = ÷ 60 | 0.0166667 arcmin |
gradians to arcseconds
The reverse conversion uses the inverse formula. For example, 1 grad is 3,240 arcsec. Use the gradians to arcseconds converter for other values.
arcsec = × 3,240About the units
arcsecond (arcsec)
A unit of angle. 1 arcsec = 0.000308642 grad.
gradian (grad)
A unit of angle. 1 grad = 3,240 arcsec.
Accuracy and rounding
The calculation uses exact decimal arithmetic, so the conversion itself adds no error. Results are rounded to six significant figures; the formula steps show more digits.
More arcseconds to gradians conversions
FAQ
How many gradians are in one arcsecond?
One arcsecond is equal to 0.000308642 gradians.
How do I convert gradians back to arcseconds?
Use the formula arcsec = × 3,240. See the gradians to arcseconds converter.