# Angle Converter

## Convert between angle units

# Angle Converter

## Online angle units converter

Convert between angle units - degrees, radians, grades, minutes and more:

Value

degrees radians grades gons minutes seconds signs mils revolutions circles turns quadrants right angles sextants

### Converting between Degrees and Radians

Degrees are commonly used in "humans" language and radians are commonly used in computer languages. Since there is *360 degrees* and *2 π radians* in a circle

- degrees can be converted to radians with the equation

*θ* = 2 π Φ / 360 (1)

*where *

*θ* = radians

*Φ* = degrees

- and radians can be converted to degrees with the equation

* Φ *= 360

*/ (2 π) (2)*

*θ*### Example - Converting between Degrees and Radians

*90 degrees* can be converted to radians with eq. *(1)* as

*θ* = 2 π (90) / 360

* = 1.57 radians*

*1 radian* can be converted to degrees with eq. *(2)* as

*Φ *= 360

*/ (2 π)*

*(1)** = 57.3 degrees*

### Turns, Radians and Degrees

Turns | Radians | Degrees |
---|---|---|

0 | 0 | 0 |

1/24 | π/12 | 15 |

1/12 | π/6 | 30 |

1/8 | π/4 | 45 |

1/(2 π) | 1 | 57.3.. |

1/6 | π/3 | 60 |

1/4 | π/2 | 90 |

1/3 | 2π/3 | 120 |

1/2 | π | 180 |

3/4 | 3π/2 | 270 |

1 | 2π | 360 |