How to convert radians to gradians
gon = rad × 63.66197724Multiply the value in radians by 63.66197724. To go the other way, multiply by 0.01570796327 (or divide by 63.66197724).
A radian is larger than a gradian: one radian contains 63.66197724 gradians.
Worked examples
- 1 radian1 rad × 63.66197724 = 63.66197724 gon
- 5 radians5 rad × 63.66197724 = 318.3098862 gon
- 10 radians10 rad × 63.66197724 = 636.6197724 gon
- 20 radians20 rad × 63.66197724 = 1,273.239545 gon
- 100 radians100 rad × 63.66197724 = 6,366.197724 gon
Radians to gradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Radians (rad) | Gradians (gon) |
|---|---|
| 0.1 rad | 6.3661977 gon |
| 0.25 rad | 15.915494 gon |
| 0.5 rad | 31.830989 gon |
| 1 rad | 63.661977 gon |
| 2 rad | 127.32395 gon |
| 3 rad | 190.98593 gon |
| 4 rad | 254.64791 gon |
| 5 rad | 318.30989 gon |
| 6 rad | 381.97186 gon |
| 7 rad | 445.63384 gon |
| 8 rad | 509.29582 gon |
| 9 rad | 572.9578 gon |
| 10 rad | 636.61977 gon |
| Radians (rad) | Gradians (gon) |
|---|---|
| 12 rad | 763.94373 gon |
| 15 rad | 954.92966 gon |
| 20 rad | 1,273.2395 gon |
| 25 rad | 1,591.5494 gon |
| 30 rad | 1,909.8593 gon |
| 40 rad | 2,546.4791 gon |
| 50 rad | 3,183.0989 gon |
| 75 rad | 4,774.6483 gon |
| 100 rad | 6,366.1977 gon |
| 250 rad | 15,915.494 gon |
| 500 rad | 31,830.989 gon |
| 1,000 rad | 63,661.977 gon |
About the units
Radian (rad)
The angle subtended by an arc equal in length to the radius; 2π rad make a full turn, so 1 rad ≈ 57.2958°.
Gradian (gon)
One 400th of a turn, so a right angle is 100 gon. Used in surveying in some countries. One gradian equals 0.01570796327 radians (rad).
Frequently asked questions
How many gradians are in one radian?
There are 63.66197724 gradians in one radian, and this value is exact by definition.
How do I convert radians to gradians?
Multiply the number of radians by 63.66197724. For example, 10 rad × 63.66197724 = 636.6197724 gon.
How many radians are in one gradian?
One gradian equals 0.01570796327 radians. That is the reverse factor, 1 ÷ 63.66197724.
What is 10 radians in gradians?
10 rad = 636.6197724 gon.
Is this rad to gon converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.