Degrees to Radians Converter
1 degree = 0.0174533 radians. Divide the number of degrees by 57.2958 (or multiply by 0.0174533).
Result
1 ° = 0.0174533 rad
Quick challenge
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Guess the conversion before you calculate it. How many can you get in a row?
How it works
Formula: rad = ° ÷ 57.2958
1 degree equals 0.0174533 radians (and 1 radian equals 57.2958 degrees). Divide the number of degrees by 57.2958 (or multiply by 0.0174533). For 45 degrees: 45 ÷ 57.2958 = 0.785398 rad.
Degrees to radians conversion table
| ° | rad |
|---|---|
| 0 ° | 0 rad |
| 1 ° | 0.0174533 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 15 ° | 0.261799 rad |
| 30 ° | 0.523599 rad |
| 45 ° | 0.785398 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 135 ° | 2.35619 rad |
| 180 ° | 3.14159 rad |
| 270 ° | 4.71239 rad |
| 360 ° | 6.28319 rad |
Frequently asked questions
How many radians are in 1 degree?
1 degree = 0.0174533 radians. The other way round, 1 radian = 57.2958 degrees.
How do I convert degrees to radians?
Divide the number of degrees by 57.2958 (or multiply by 0.0174533). For example, 30 ° = 0.523599 rad.
How many radians is 45 degrees?
45 degrees = 0.785398 radians (45 ÷ 57.2958 = 0.785398).
How many radians is 90 degrees?
90 degrees = 1.5708 radians (90 ÷ 57.2958 = 1.5708).