Arcseconds (″) to Gradians (gon) Conversion
Arcseconds
The arcsecond (″, Unicode U+2033) is a unit of angle equal to exactly 1/3,600 of a degree, or 1/60 of an arcminute (approximately 4.848 × 10⁻⁶ radians). It is the standard unit of angular resolution in astronomy: the Hubble Space Telescope achieves a resolution of approximately 0.05 arcseconds; the nearest star, Proxima Centauri, has a parallax of 0.769 arcseconds — the basis for measuring its distance. In geodesy, GPS coordinates are routinely recorded to sub-arcsecond precision, corresponding to positional accuracy of approximately 30 metres on Earth's surface.
Gradians
The gradian (gon), also written grad, is a unit of angle that divides a full circle into exactly 400 equal parts, making a right angle exactly 100 gradians. Introduced during the French Revolution as part of the metric system reforms of the 1790s, the gradian was intended to decimalise angular measurement the way the metre decimalised length. It is still used in land surveying, civil engineering, and military mapping in parts of continental Europe — particularly France, the Netherlands, and Sweden — where its decimal relationship with right angles simplifies triangulation calculations.
| Arcseconds (″) | Gradians (gon) |
|---|---|
| 0.1 ″ | 0.0000309 gon |
| 1 ″ | 0.000309 gon |
| 2 ″ | 0.000617 gon |
| 3 ″ | 0.000926 gon |
| 5 ″ | 0.00154 gon |
| 10 ″ | 0.00309 gon |
| 20 ″ | 0.00617 gon |
| 30 ″ | 0.00926 gon |
| 50 ″ | 0.0154 gon |
| 100 ″ | 0.0309 gon |
| 1000 ″ | 0.3086 gon |
Frequently Asked Questions (FAQ)
How many gradians are in 1 arcseconds?
1 arcseconds (″) is exactly 0.000309 gradians (gon).
How do I convert arcseconds to gradians?
Multiply the value in arcseconds by 0.000309 to get the result in gradians. Or use the converter above — type any number and see the result instantly.