Gradian (gon)
The gradian (gon) divides a right angle into 100 parts, so a full turn is 400 gon. Surveyors in continental Europe use it because decimal angles simplify calculations.
Symbol: gon
Quantity: plane angle
SI relation: 1 gon = 0.01570796326795 rad (exact)
Derivation: 1 gon = π/200 rad; a right angle is 100 gon and a full turn 400 gon.
Exact: yes, by definition
Typical uses
- Land surveying in Europe
- Some scientific calculators (GRAD mode)
Convert gradians to other units
| Conversion | 1 gon equals | Reverse |
|---|---|---|
| gradian to radian | 0.01570796327 rad | radian to gradian |
| gradian to degree | 0.9 ° | degree to gradian |
| gradian to revolution | 0.0025 rev | revolution to gradian |
| gradian to minute of arc | 54 ′ | minute of arc to gradian |
| gradian to second of arc | 3240 ″ | second of arc to gradian |
Open the Angle Converter to convert any value between all units.
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".
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). Gradian (gon). Retrieved October 25, 2026, from https://scientificconverters.com/units/gradian/
IEEE
Scientific Converters, "Gradian (gon)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/units/gradian/