Convert from gradians to radians
Alternative name: Convert grad to rad
You can use this converter to convert the angle in gradians (grad) to the equivalent angle in radians (rad).
The formula used in this angle converter is listed below. There is also a gradians (grad) to radians (rad) conversion table for your convenience.
360 gradians is the same as:
5.655 radiansIf you want to convert this angle the other way around, try this converter: radians to gradians converter
Gradians can also be converted to other units:
The conversion formula for gradians to radians
We know that 1 radian is the same as 63.66 gradian. This allows us to set up the following formula:
angle(rad) = angle(grad) ÷ 63.66
63.66 is the conversion constant you need to remember to do this conversion.
Example usage of the gradians to radians formula
If you know the gradians (grad) to radians (rad) formula, then you can calculate the angle like this.
The example converts 360 grad to the same angle in radians.
5.655 rad = 360 grad ÷ 63.66
Conversion table for gradians to radians
This conversion table is based on the formula used above.
You can generate a conversion table for any number range by entering a start and end number range below.
| Gradian | Radian |
|---|---|
| 1 grad | 0.01571 rad |
| 2 grad | 0.03142 rad |
| 3 grad | 0.04712 rad |
| 4 grad | 0.06283 rad |
| 5 grad | 0.07854 rad |
| 6 grad | 0.09425 rad |
| 7 grad | 0.11 rad |
| 8 grad | 0.1257 rad |
| 9 grad | 0.1414 rad |
| 10 grad | 0.1571 rad |
| 11 grad | 0.1728 rad |
| 12 grad | 0.1885 rad |
| 13 grad | 0.2042 rad |
| 14 grad | 0.2199 rad |
| 15 grad | 0.2356 rad |
| 16 grad | 0.2513 rad |
| 17 grad | 0.267 rad |
| 18 grad | 0.2827 rad |
| 19 grad | 0.2985 rad |
| 20 grad | 0.3142 rad |
| 21 grad | 0.3299 rad |
| 22 grad | 0.3456 rad |
| 23 grad | 0.3613 rad |
| 24 grad | 0.377 rad |
| 25 grad | 0.3927 rad |
| 26 grad | 0.4084 rad |
| 27 grad | 0.4241 rad |
| 28 grad | 0.4398 rad |
| 29 grad | 0.4555 rad |
| 30 grad | 0.4712 rad |
| 31 grad | 0.4869 rad |
| 32 grad | 0.5027 rad |
| 33 grad | 0.5184 rad |
| 34 grad | 0.5341 rad |
| 35 grad | 0.5498 rad |
| 36 grad | 0.5655 rad |
| 37 grad | 0.5812 rad |
| 38 grad | 0.5969 rad |
| 39 grad | 0.6126 rad |
| 40 grad | 0.6283 rad |
| 41 grad | 0.644 rad |
| 42 grad | 0.6597 rad |
| 43 grad | 0.6754 rad |
| 44 grad | 0.6912 rad |
| 45 grad | 0.7069 rad |
| 46 grad | 0.7226 rad |
| 47 grad | 0.7383 rad |
| 48 grad | 0.754 rad |
| 49 grad | 0.7697 rad |
| 50 grad | 0.7854 rad |
If you want, you can also see all other related units of measure in this category by clicking here. The table is updated, but the start and end range of the conversion remains the same.
If you need more advanced control over the table, see here: advanced conversion table