# Angle Converter

# Angle Converter

## Online angle units converter

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

### 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 θ / (2 π) (2) *

### 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 (1) / (2 π) *

* = 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 |

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