Convert Gradians to Arcseconds (gon to ″)
1 gradian (gon) = 3240 seconds of arc (″). 1 ″ = 0.0003086419753 gon. Example: 15 gon = 15 × 3240 = 48600 ″.
Also searched as gradians to ″, gradians in ″, gradians into seconds of arc, gon to ″, gon in seconds of arc, gon into second of arc, gradian to second of arc, gon to seconds of arc converter and how many seconds of arc in a gradian.
1 gon = 3240 ″
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk gradian to second of arc converter to paste a column from Excel.
How to Convert Gradian to Arcsecond
- 1 gon = 3240 ″
- 1 ″ = 0.0003086419753 gon
- Example: convert 15 gon to ″: 15 gon = 15 × 3240 ″ = 48600 ″
Formula
″ = gon × 3240
Derivation from SI units:
- 1 gon = π/200 rad; a right angle is 100 gon and a full turn 400 gon.
- 1″ = (1/3600)° = π/648 000 rad.
- 1 gon = 0.01570796326795 rad ÷ 0.000004848136811095 rad per ″ = 3240 ″
Both units are defined exactly, so the factor is exact. Gradian definition: gradian; Arcsecond definition: second of arc.
Worked examples
- A reading of 50 gon converts to 162000 ″.
50 gon × 3240 = 162000 ″ - A value of 200 gon is 648000 ″.
200 gon × 3240 = 648000 ″
Gradian to Arcsecond conversion table
| Gradians (gon) | Arcseconds (″) |
|---|---|
| 1 gon | 3240 ″ |
| 10 gon | 32400 ″ |
| 25 gon | 81000 ″ |
| 50 gon | 162000 ″ |
| 100 gon | 324000 ″ |
| 150 gon | 486000 ″ |
| 200 gon | 648000 ″ |
| 300 gon | 972000 ″ |
| 400 gon | 1296000 ″ |
| 0.5 gon | 1620 ″ |
Where it's used
Gradians are used for land surveying in Europe, while seconds of arc appear in astronomy (parallax, star positions). Both measure plane angle, so the conversion is a fixed factor.
Gradian to other angle units
| Conversion | 1 gon equals |
|---|---|
| gradian to second of arc | 3240 ″ |
| gradian to radian | 0.01570796327 rad |
| gradian to degree | 0.9 ° |
| gradian to revolution | 0.0025 rev |
| gradian to minute of arc | 54 ′ |
Frequently asked questions
How many seconds of arc are in 1 gradian?
1 gon = 3240 ″.
How do I convert gradians to seconds of arc?
Multiply the value in gon by 3240. For example, 15 gon × 3240 = 48600 ″.
Is the gon to ″ conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "grad".
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Gradians to Arcseconds (gon to ″). Retrieved October 25, 2026, from https://scientificconverters.com/angle/gradians-to-arcseconds/
IEEE
Scientific Converters, "Convert Gradians to Arcseconds (gon to ″)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/gradians-to-arcseconds/