Convert Gradians to Radians
1 gradian = 0.01570796 radians. Type any value below to convert in either direction — the calculation happens in your browser.
Gradians to Radians formula
Multiply the number of gradians by 0.01570796 to get radians.
radians = gradians × 0.01570796To go the other way: divide the number of radians by 0.01570796, or multiply by 63.661977.
gradians = radians ÷ 0.01570796Gradians to Radians conversion table
| Gradians | Radians |
|---|---|
| 1 gon | 0.01570796 rad |
| 2 gon | 0.03141593 rad |
| 3 gon | 0.04712389 rad |
| 4 gon | 0.06283185 rad |
| 5 gon | 0.07853982 rad |
| 6 gon | 0.09424778 rad |
| 7 gon | 0.1099557 rad |
| 8 gon | 0.1256637 rad |
| 9 gon | 0.1413717 rad |
| 10 gon | 0.1570796 rad |
| 15 gon | 0.2356194 rad |
| 20 gon | 0.3141593 rad |
| 25 gon | 0.3926991 rad |
| 30 gon | 0.4712389 rad |
| 40 gon | 0.6283185 rad |
| 50 gon | 0.7853982 rad |
| 75 gon | 1.178097 rad |
| 100 gon | 1.570796 rad |
| 250 gon | 3.926991 rad |
| 500 gon | 7.853982 rad |
| 1,000 gon | 15.707963 rad |
Radians to Gradians conversion table
| Radians | Gradians |
|---|---|
| 1 rad | 63.661977 gon |
| 2 rad | 127.323954 gon |
| 3 rad | 190.985932 gon |
| 4 rad | 254.647909 gon |
| 5 rad | 318.309886 gon |
| 6 rad | 381.971863 gon |
| 7 rad | 445.633841 gon |
| 8 rad | 509.295818 gon |
| 9 rad | 572.957795 gon |
| 10 rad | 636.619772 gon |
About the gradian
A gradian divides a right angle into 100 parts and is used in some surveying contexts.
About the radian
A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.
Frequently asked questions
How many radians are in a gradian?
There are 0.01570796 radians in one gradian.
How many gradians are in a radian?
There are 63.661977 gradians in one radian.
Is this conversion exact?
The ratio between the gradian and the radian is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.
What is 10 gradians in radians?
10 gradians equals 0.1570796 radians.