Convert radians to gradians
Converting radians to gradians is a common angle task, whether you are checking a recipe, a spec sheet, a travel distance or a homework problem. Since 1 rad equals 63.662 gon, the math is a single multiplication — and this page does it for you instantly, with the formula, a table of common values and answers to the questions people ask most.
Exact factor
How to convert radians to gradians
To convert radians to gradians, multiply the number of radians by 63.662. For example, 10 rad × 63.662 = 636.62 gon.
gon = rad × 63.662
- Write down the value in radians you want to convert.
- Multiply it by 63.662 (the exact rad→gon factor).
- The result is your value in gradians. Check it below with the converter or the table.
Conversion table
Common values of radians and their equivalents in gradians:
| rad | gon |
|---|---|
| 1 | 63.662 |
| 2 | 127.324 |
| 3 | 190.986 |
| 4 | 254.648 |
| 5 | 318.31 |
| 10 | 636.62 |
| 20 | 1,273.24 |
| 25 | 1,591.55 |
| 50 | 3,183.1 |
| 100 | 6,366.2 |
| 250 | 15,915.5 |
| 500 | 31,831 |
About these units
Radian (rad). A radian is the angle subtended by an arc equal in length to the radius, with π radians in a half circle (about 57.2958°). It is the natural angle unit in mathematics and programming.
Gradian (gon). A gradian (gon) is 1/400 of a full circle, so a right angle is exactly 100 gradians. It is used in surveying and some European engineering fields for decimal-friendly math.
Frequently asked questions
How do I convert radians to gradians?
To convert radians to gradians, multiply the number of radians by 63.662. For example, 10 rad × 63.662 = 636.62 gon. Or skip the math: type the value into the converter at the top of this page and the result updates instantly.
How many gradians are in 1 radian?
1 rad = 63.662 gon. That is the fixed relationship used by this converter and by international standards.
How many radians are in 1 gradian?
1 gon = 0.015708 rad. If you are converting in the opposite direction, use our Gradian to Radian converter for the dedicated table and FAQ.
Is the radians to gradians conversion exact?
Yes. Both units are defined by international agreement, so the factor of 63.662 is exact. Displayed results are rounded to 6 significant digits only for readability.
What is radian used for?
A radian is the angle subtended by an arc equal in length to the radius, with π radians in a half circle (about 57.2958°). It is the natural angle unit in mathematics and programming.