How to convert gradians to arcseconds
″ = gon × 3,240Multiply the value in gradians by 3,240. To go the other way, multiply by 0.0003086419753 (or divide by 3,240).
A gradian is larger than an arcsecond: one gradian contains 3,240 arcseconds.
Worked examples
- 1 gradian1 gon × 3,240 = 3,240 ″
- 5 gradians5 gon × 3,240 = 16,200 ″
- 10 gradians10 gon × 3,240 = 32,400 ″
- 20 gradians20 gon × 3,240 = 64,800 ″
- 100 gradians100 gon × 3,240 = 324,000 ″
Gradians to arcseconds conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Gradians (gon) | Arcseconds (″) |
|---|---|
| 0.1 gon | 324 ″ |
| 0.25 gon | 810 ″ |
| 0.5 gon | 1,620 ″ |
| 1 gon | 3,240 ″ |
| 2 gon | 6,480 ″ |
| 3 gon | 9,720 ″ |
| 4 gon | 12,960 ″ |
| 5 gon | 16,200 ″ |
| 6 gon | 19,440 ″ |
| 7 gon | 22,680 ″ |
| 8 gon | 25,920 ″ |
| 9 gon | 29,160 ″ |
| 10 gon | 32,400 ″ |
| Gradians (gon) | Arcseconds (″) |
|---|---|
| 12 gon | 38,880 ″ |
| 15 gon | 48,600 ″ |
| 20 gon | 64,800 ″ |
| 25 gon | 81,000 ″ |
| 30 gon | 97,200 ″ |
| 40 gon | 129,600 ″ |
| 50 gon | 162,000 ″ |
| 75 gon | 243,000 ″ |
| 100 gon | 324,000 ″ |
| 250 gon | 810,000 ″ |
| 500 gon | 1,620,000 ″ |
| 1,000 gon | 3,240,000 ″ |
About the units
Gradian (gon)
One 400th of a turn, so a right angle is 100 gon. Used in surveying in some countries. One gradian equals 0.01570796327 radians (rad).
Arcsecond (″)
The arcsecond (″) is a unit of angle. One arcsecond equals 0.000004848136811 radians (rad).
Frequently asked questions
How many arcseconds are in one gradian?
There are 3,240 arcseconds in one gradian, and this value is exact by definition.
How do I convert gradians to arcseconds?
Multiply the number of gradians by 3,240. For example, 10 gon × 3,240 = 32,400 ″.
How many gradians are in one arcsecond?
One arcsecond equals 0.0003086419753 gradians. That is the reverse factor, 1 ÷ 3,240.
What is 10 gradians in arcseconds?
10 gon = 32,400 ″.
Is this gon to ″ converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.
Convert gradians to other units
- Gradians to degrees
- Gradians to radians
- Gradians to arcminutes
- Gradians to turns
- Gradians to milliradians