Convert from degrees to radians
Alternative name: Convert deg to rad
You can use this converter to convert the angle in degrees (deg) to the equivalent angle in radians (rad).
The formula used in this angle converter is listed below. There is also a degrees (deg) to radians (rad) conversion table for your convenience.
360 degrees is the same as:
6.283 radiansIf you want to convert this angle the other way around, try this converter: radians to degrees converter
Degrees can also be converted to other units:
The conversion formula for degrees to radians
We know that 1 radian is the same as 57.3 degree. This allows us to set up the following formula:
angle(rad) = angle(deg) ÷ 57.3
57.3 is the conversion constant you need to remember to do this conversion.
Example usage of the degrees to radians formula
If you know the degrees (deg) to radians (rad) formula, then you can calculate the angle like this.
The example converts 360 deg to the same angle in radians.
6.283 rad = 360 deg ÷ 57.3
Conversion table for degrees 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.
| Degree | Radian |
|---|---|
| 1 deg | 0.01745 rad |
| 2 deg | 0.03491 rad |
| 3 deg | 0.05236 rad |
| 4 deg | 0.06981 rad |
| 5 deg | 0.08727 rad |
| 6 deg | 0.1047 rad |
| 7 deg | 0.1222 rad |
| 8 deg | 0.1396 rad |
| 9 deg | 0.1571 rad |
| 10 deg | 0.1745 rad |
| 11 deg | 0.192 rad |
| 12 deg | 0.2094 rad |
| 13 deg | 0.2269 rad |
| 14 deg | 0.2443 rad |
| 15 deg | 0.2618 rad |
| 16 deg | 0.2793 rad |
| 17 deg | 0.2967 rad |
| 18 deg | 0.3142 rad |
| 19 deg | 0.3316 rad |
| 20 deg | 0.3491 rad |
| 21 deg | 0.3665 rad |
| 22 deg | 0.384 rad |
| 23 deg | 0.4014 rad |
| 24 deg | 0.4189 rad |
| 25 deg | 0.4363 rad |
| 26 deg | 0.4538 rad |
| 27 deg | 0.4712 rad |
| 28 deg | 0.4887 rad |
| 29 deg | 0.5061 rad |
| 30 deg | 0.5236 rad |
| 31 deg | 0.5411 rad |
| 32 deg | 0.5585 rad |
| 33 deg | 0.576 rad |
| 34 deg | 0.5934 rad |
| 35 deg | 0.6109 rad |
| 36 deg | 0.6283 rad |
| 37 deg | 0.6458 rad |
| 38 deg | 0.6632 rad |
| 39 deg | 0.6807 rad |
| 40 deg | 0.6981 rad |
| 41 deg | 0.7156 rad |
| 42 deg | 0.733 rad |
| 43 deg | 0.7505 rad |
| 44 deg | 0.7679 rad |
| 45 deg | 0.7854 rad |
| 46 deg | 0.8029 rad |
| 47 deg | 0.8203 rad |
| 48 deg | 0.8378 rad |
| 49 deg | 0.8552 rad |
| 50 deg | 0.8727 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