How to convert radians to gradians
To convert radians to gradians, multiply by 63.6619772368. Angle conversions are used in trigonometry, programming, surveying, navigation and engineering.
Radian to Gradian conversion table
| Radian (rad) | Gradian (gon) |
|---|---|
| 0.1 rad | 6.36619772368 gon |
| 0.5 rad | 31.8309886184 gon |
| 1 rad | 63.6619772368 gon |
| 2 rad | 127.323954474 gon |
| 3 rad | 190.98593171 gon |
| 4 rad | 254.647908947 gon |
| 5 rad | 318.309886184 gon |
| 10 rad | 636.619772368 gon |
| 20 rad | 1,273.23954474 gon |
| 25 rad | 1,591.54943092 gon |
| 50 rad | 3,183.09886184 gon |
| 100 rad | 6,366.19772368 gon |
| 500 rad | 31,830.9886184 gon |
| 1,000 rad | 63,661.9772368 gon |
About the units
Radian (rad)
A radian is the angle subtended by an arc equal to the radius; a full turn is 2π radians.
Gradian (gon)
A gradian (gon) is 1/400 of a full turn, used in surveying.
How to use this converter
- Type the number of radians (rad) in the input box.
- The result in gradians appears instantly — no button needed.
- See the same value in every other angle unit just below.
- Use “Swap units” to convert gradians back to radians.
Tips for better results
- Double-check which system a unit belongs to (for example US vs UK gallons).
- Use the swap button to convert in the opposite direction instantly.
- Bookmark the conversions you use most — each pair has its own page.
Frequently asked questions
How many gradians are in one radian?
One radian equals 63.6619772368 gradians. 63.6619772368 is the exact factor used by this converter.
How do I convert radians to gradians?
Multiply the value in radians by 63.6619772368. To go the other way, multiply gradians by 0.0157079632679.
What is 10 rad in gon?
10 rad = 636.619772368 gon. Also, 5 rad = 318.309886184 gon and 100 rad = 6,366.19772368 gon.
What is the difference between a radian and a gradian?
A radian is the angle subtended by an arc equal to the radius; a full turn is 2π radians. A gradian (gon) is 1/400 of a full turn, used in surveying.
Is this tool free and private?
Yes — the Radian to Gradian is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.
Related tools
📬 Get new tools first — free
Join Taurang to hear about new calculators, converters and features. No spam; unsubscribe anytime.