How to convert arcseconds to gradians
gon = ″ × 0.0003086419753Because one gradian equals 3,240 arcseconds, you can also divide: gon = ″ ÷ 3,240.
An arcsecond is smaller than a gradian: it takes 3,240 arcseconds to make one gradian.
Worked examples
- 1 arcsecond1 ″ × 0.0003086419753 = 0.0003086419753 gon
- 5 arcseconds5 ″ × 0.0003086419753 = 0.001543209877 gon
- 10 arcseconds10 ″ × 0.0003086419753 = 0.003086419753 gon
- 20 arcseconds20 ″ × 0.0003086419753 = 0.006172839506 gon
- 100 arcseconds100 ″ × 0.0003086419753 = 0.03086419753 gon
Arcseconds to gradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Arcseconds (″) | Gradians (gon) |
|---|---|
| 0.1 ″ | 0.000030864198 gon |
| 0.25 ″ | 0.000077160494 gon |
| 0.5 ″ | 0.00015432099 gon |
| 1 ″ | 0.00030864198 gon |
| 2 ″ | 0.00061728395 gon |
| 3 ″ | 0.00092592593 gon |
| 4 ″ | 0.0012345679 gon |
| 5 ″ | 0.0015432099 gon |
| 6 ″ | 0.0018518519 gon |
| 7 ″ | 0.0021604938 gon |
| 8 ″ | 0.0024691358 gon |
| 9 ″ | 0.0027777778 gon |
| 10 ″ | 0.0030864198 gon |
| Arcseconds (″) | Gradians (gon) |
|---|---|
| 12 ″ | 0.0037037037 gon |
| 15 ″ | 0.0046296296 gon |
| 20 ″ | 0.0061728395 gon |
| 25 ″ | 0.0077160494 gon |
| 30 ″ | 0.0092592593 gon |
| 40 ″ | 0.012345679 gon |
| 50 ″ | 0.015432099 gon |
| 75 ″ | 0.023148148 gon |
| 100 ″ | 0.030864198 gon |
| 250 ″ | 0.077160494 gon |
| 500 ″ | 0.15432099 gon |
| 1,000 ″ | 0.30864198 gon |
About the units
Arcsecond (″)
The arcsecond (″) is a unit of angle. One arcsecond equals 0.000004848136811 radians (rad).
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).
Frequently asked questions
How many gradians are in one arcsecond?
There are 0.0003086419753 gradians in one arcsecond, and this value is exact by definition.
How do I convert arcseconds to gradians?
Multiply the number of arcseconds by 0.0003086419753. For example, 10 ″ × 0.0003086419753 = 0.003086419753 gon.
How many arcseconds are in one gradian?
One gradian equals 3,240 arcseconds. That is the reverse factor, 1 ÷ 0.0003086419753.
What is 10 arcseconds in gradians?
10 ″ = 0.003086419753 gon.
Is this ″ to gon 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 arcseconds to other units
- Arcseconds to degrees
- Arcseconds to radians
- Arcseconds to arcminutes
- Arcseconds to turns
- Arcseconds to milliradians