Convert Degrees to Radians
Please enter the angle in degrees below to convert it into radians.
Would you like to convert radians to degrees?
How to Convert Degrees to Radians
To convert a measurement in degrees to radians, simply multiply the angle by the conversion ratio.
The relationship between degrees and radians is: one radian is equal to 180/π degrees. Therefore, we can use the following formula to convert between these units of measurement:
radians = degrees × (π ÷ 180)
For example, to convert 45 degrees to radians using this method, you would write:
radians = 45 × (π ÷ 180)
radians = 0.78539816
radians = 0.78539816
Therefore, 45 degrees is equivalent to 0.78539816 radians.
Degrees to Radians Conversion Table
| Degrees | Radians (multiple of π) | Radians (decimal) |
|---|---|---|
| 0° | 0 rad | 0 rad |
| 15° | π/12 rad | 0.26179939 rad |
| 30° | π/6 rad | 0.52359878 rad |
| 45° | π/4 rad | 0.78539816 rad |
| 60° | π/3 rad | 1.04719755 rad |
| 90° | π/2 rad | 1.57079633 rad |
| 120° | 2π/3 rad | 2.0943951 rad |
| 150° | 5π/6 rad | 2.61799388 rad |
| 165° | 11π/12 rad | 2.87979327 rad |
| 180° | π rad | 3.14159265 rad |
| 225° | 5π/4 rad | 3.92699082 rad |
| 270° | 3π/2 rad | 4.71238898 rad |
| 315° | 7π/4 rad | 5.49778714 rad |
| 360° | 2π rad | 6.28318531 rad |