# Radians to Degrees conversion

Radians to degrees angle conversion calculator and how to convert.

- Radians to degrees conversion calculator
- How to convert radians to degrees
- Radians to degrees conversion table

## Radians to degrees conversion calculator

Enter angle in radians and press the *Convert* button (e.g:0.5, π/2, 3π/2):

Degrees to radians converter ►

## How to convert radians to degrees

Pi radians are equal to 180 degrees:

π rad = 180°

One radian is equal 57.295779513 degrees:

1 rad = 180°/π = 57.295779513°

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

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

or

degrees = radians × 180° / π

#### Example

Convert 2 radians angle to degrees:

α_{(degrees)} = α_{(radians)} × 180° / π = 2 × 180° / 3.1459 = 114.592°

## Radians to degrees conversion table

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

0 rad | 0 rad | 0° |

π/6 rad | 0.5235987756 rad | 30° |

π/4 rad | 0.7853981634 rad | 45° |

π/3 rad | 1.0471975512 rad | 60° |

π/2 rad | 1.5707963268 rad | 90° |

2π/3 rad | 2.0943951024 rad | 120° |

3π/4 rad | 2.3561944902 rad | 135° |

5π/6 rad | 2.6179938780 rad | 150° |

π rad | 3.1415926536 rad | 180° |

3π/2 rad | 4.7123889804 rad | 270° |

2π rad | 6.2831853072 rad | 360° |

Degrees to radians conversion ►