A gradian is 1/400 of a turn.
Gradians to Arcseconds Converter — gon to arcsec
Convert Gradian (gon) to Arcsecond (arcsec) using the exact conversion factor (1 gradian = 3,240 arcsecond). See the formula, worked examples, and conversion table.
Gradians to Arcseconds 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.
One arcsecond is 1/3600 degree.
Result = input x 0.01570796327 / 4.84813681e-6.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Gradians to Arcseconds
Gradian and Arcsecond 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: A gradian is 1/400 of a turn, and one arcsecond is 1/3600 degree.
Formula
arcseconds = gradians × 3240
This factor comes from each unit's defined relationship to the category's base unit: 1 gradian equals 0.0157079632679 base units, and 1 arcsecond equals 0.0000048481368111 base units, so dividing one by the other gives the direct gradian-to-arcsecond factor of 3240.
Simple example
1 gon × 3240 = 3,240 arcsec
1 gradian = 3,240 arcseconds.
Real-world example
90 gon × 3240 = 291,600 arcsec
90 gradians = 291,600 arcseconds.
Conversion table
| Gradian (gon) | Arcsecond (arcsec) |
|---|---|
| 0 gon | 0 arcsec |
| 30 gon | 97,200 arcsec |
| 45 gon | 145,800 arcsec |
| 90 gon | 291,600 arcsec |
| 180 gon | 583,200 arcsec |
| 360 gon | 1,166,400 arcsec |
Reverse conversion: Arcsecond to Gradian
1 arcsec × 0.0003086419753 = 0.000308642 gon
1 arcsecond = 0.000308642 gradians.
gradians = arcseconds × 0.000308641975309
For a page dedicated to this direction, see Arcsecond to Gradian.
Understanding the Gradian (gon)
A gradian is 1/400 of a turn.
Understanding the Arcsecond (arcsec)
One arcsecond is 1/3600 degree.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many arcseconds are in 1 gradian?
1 gradian equals 3,240 arcseconds, using the exact defined conversion factor rather than an estimate.
How do I convert gradian to arcsecond?
Multiply the gradian value by 3240. The converter above does this instantly to whatever precision you set.
How do I convert arcsecond back to gradian?
Use the reverse factor: 1 arcsecond equals 0.000308642 gradians. You can also use the swap control in the converter above to flip the direction instantly.
What is a gradian?
Gradian (gon) is a unit of angle.
What is a arcsecond?
Arcsecond (arcsec) is a unit of angle.
Is the gradian to arcsecond conversion exact?
Yes. Both gradian and arcsecond are defined by fixed standards rather than physical artifacts, so the factor of 3240 used above is exact to as many digits as you choose to display.