How to convert gradians to radians
To convert gradians to radians, multiply by 0.0157079632679. Angle conversions are used in trigonometry, programming, surveying, navigation and engineering.
Gradian to Radian conversion table
| Gradian (gon) | Radian (rad) |
|---|---|
| 0.1 gon | 0.00157079632679 rad |
| 0.5 gon | 0.00785398163397 rad |
| 1 gon | 0.0157079632679 rad |
| 2 gon | 0.0314159265359 rad |
| 3 gon | 0.0471238898038 rad |
| 4 gon | 0.0628318530718 rad |
| 5 gon | 0.0785398163397 rad |
| 10 gon | 0.157079632679 rad |
| 20 gon | 0.314159265359 rad |
| 25 gon | 0.392699081699 rad |
| 50 gon | 0.785398163397 rad |
| 100 gon | 1.57079632679 rad |
| 500 gon | 7.85398163397 rad |
| 1,000 gon | 15.7079632679 rad |
About the units
Gradian (gon)
A gradian (gon) is 1/400 of a full turn, used in surveying.
Radian (rad)
A radian is the angle subtended by an arc equal to the radius; a full turn is 2π radians.
How to use this converter
- Type the number of gradians (gon) in the input box.
- The result in radians appears instantly — no button needed.
- See the same value in every other angle unit just below.
- Use “Swap units” to convert radians back to gradians.
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 radians are in one gradian?
One gradian equals 0.0157079632679 radians. 0.0157079632679 is the exact factor used by this converter.
How do I convert gradians to radians?
Multiply the value in gradians by 0.0157079632679. To go the other way, multiply radians by 63.6619772368.
What is 10 gon in rad?
10 gon = 0.157079632679 rad. Also, 5 gon = 0.0785398163397 rad and 100 gon = 1.57079632679 rad.
What is the difference between a gradian and a radian?
A gradian (gon) is 1/400 of a full turn, used in surveying. A radian is the angle subtended by an arc equal to the radius; a full turn is 2π radians.
Is this tool free and private?
Yes — the Gradian to Radian 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.
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