One arcsecond is 1/3600 degree.
Arcseconds to Gradians Converter — arcsec to gon
Convert Arcsecond (arcsec) to Gradian (gon) using the exact conversion factor (1 arcsecond = 0.000308642 gradian). See the formula, worked examples, and conversion table.
Arcseconds to Gradians converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
Context values
Some unit families need one extra value for a physically accurate result.
A gradian is 1/400 of a turn.
Result = input x 4.84813681e-6 / 0.01570796327.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcseconds to Gradians
Arcsecond and Gradian are the two standard ways to measure angles — degrees for everyday and navigational use, radians for calculus and physics — so converting between them comes up constantly in math, engineering, and programming. Specifically: One arcsecond is 1/3600 degree, and a gradian is 1/400 of a turn.
Formula
gradians = arcseconds × 0.000308641975309
This factor comes from each unit's defined relationship to the category's base unit: 1 arcsecond equals 0.0000048481368111 base units, and 1 gradian equals 0.0157079632679 base units, so dividing one by the other gives the direct arcsecond-to-gradian factor of 0.000308641975309.
Simple example
1 arcsec × 0.0003086419753 = 0.000308642 gon
1 arcsecond = 0.000308642 gradians.
Real-world example
90 arcsec × 0.0003086419753 = 0.0277777778 gon
90 arcseconds = 0.0277777778 gradians.
Conversion table
| Arcsecond (arcsec) | Gradian (gon) |
|---|---|
| 0 arcsec | 0 gon |
| 30 arcsec | 0.0092592593 gon |
| 45 arcsec | 0.0138888889 gon |
| 90 arcsec | 0.0277777778 gon |
| 180 arcsec | 0.0555555556 gon |
| 360 arcsec | 0.1111111111 gon |
Reverse conversion: Gradian to Arcsecond
0.000308642 gon × 3240 = 1.00000008 arcsec
0.000308642 gradians = 1.00000008 arcseconds.
arcseconds = gradians × 3240
For a page dedicated to this direction, see Gradian to Arcsecond.
Understanding the Arcsecond (arcsec)
One arcsecond is 1/3600 degree.
Understanding the Gradian (gon)
A gradian is 1/400 of a turn.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many gradians are in 1 arcsecond?
1 arcsecond equals 0.000308642 gradians, using the exact defined conversion factor rather than an estimate.
How do I convert arcsecond to gradian?
Multiply the arcsecond value by 0.0003086419753. The converter above does this instantly to whatever precision you set.
How do I convert gradian back to arcsecond?
Use the reverse factor: 1 gradian equals 3,240 arcseconds. You can also use the swap control in the converter above to flip the direction instantly.
What is a arcsecond?
Arcsecond (arcsec) is a unit of angle.
What is a gradian?
Gradian (gon) is a unit of angle.
Is the arcsecond to gradian conversion exact?
Yes. Both arcsecond and gradian are defined by fixed standards rather than physical artifacts, so the factor of 0.0003086419753 used above is exact to as many digits as you choose to display.