## Degrees to radians conversion calculator

Enter angle in degrees and press the *Convert* button (e.g:30°, -60°):

Radians to degrees converter ►

## How to convert degrees to radians

Pi radians are equal to 180 degrees:

π rad = 180°

One degree is equal 0.01745329252 radians:

1° = π/180° = 0.005555556π = 0.01745329252 rad

The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:

α_{(radians)} = α_{(degrees)} × π / 180°

or

radians = degrees × π / 180°

#### Example

Convert 30 degrees angle to radians:

α_{(radians)} = α_{(degrees)} × π / 180° = 30° × 3.1459 / 180° = 0.5236 rad

## Degrees to radians conversion table

Degrees (°) | Radians (rad) | Radians (rad) |
---|---|---|

0° | 0 rad | 0 rad |

30° | π/6 rad | 0.5235987756 rad |

45° | π/4 rad | 0.7853981634 rad |

60° | π/3 rad | 1.0471975512 rad |

90° | π/2 rad | 1.5707963268 rad |

120° | 2π/3 rad | 2.0943951024 rad |

135° | 3π/4 rad | 2.3561944902 rad |

150° | 5π/6 rad | 2.6179938780 rad |

180° | π rad | 3.1415926536 rad |

270° | 3π/2 rad | 4.7123889804 rad |

360° | 2π rad | 6.2831853072 rad |

Radians to degrees conversion ►