Degrees to Radians Converter
Alternate Degree to Radian Formula
If you want to convert degrees to radians without using pi, multiply the angle by the following conversion ratio: 0.017453 radians/degree.
Since one degree is equal to 0.017453 radians, you can use this simple formula to convert:
radians = degrees × 0.017453
For example, here's how to convert 5 degrees to radians using this formula:
radians = (5° × 0.017453) = 0.087266 rad
Degree to Radian Conversion Table
Degrees | Radians (expression) | Radians (decimal) |
---|---|---|
0° | 0 rad | 0 rad |
15° | Ï€/12 rad | 0.261799 rad |
30° | Ï€/6 rad | 0.523599 rad |
45° | Ï€/4 rad | 0.785398 rad |
60° | Ï€/3 rad | 1.047198 rad |
90° | Ï€/2 rad | 1.570796 rad |
120° | 2Ï€/3 rad | 2.094395 rad |
150° | 5Ï€/6 rad | 2.617994 rad |
180° | Ï€ rad | 3.141593 rad |
270° | 3Ï€/2 rad | 4.712389 rad |
360° | 2Ï€ rad | 6.283185 rad |