# Convert Degrees to Radians

Please provide values below to convert degree [°] to radian [rad], or *vice versa*.

**Definition: Degree**

Degree (symbol: °) is an angular measurement unit, defined by a full rotation as 360 degrees. Degree is not an SI unit (International System of Units), but it is mentioned in the SI brochure as an accepted unit. Because a full rotation equals 2ϖ radians, one degree is equivalent to ϖ/180 radians.

**Definition: Radian**

Radian (symbol: rad) is the standard unit of angular measure. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. One radian is equal to 57.296 degrees.

### Degree to Radian Conversion Table

Degree [°] | Radian [rad] |
---|---|

0.01 ° | 0.00017453292519943 rad |

0.1 ° | 0.0017453292519943 rad |

1 ° | 0.017453292519943 rad |

2 ° | 0.034906585039887 rad |

3 ° | 0.05235987755983 rad |

5 ° | 0.087266462599716 rad |

10 ° | 0.17453292519943 rad |

20 ° | 0.34906585039887 rad |

50 ° | 0.87266462599716 rad |

100 ° | 1.7453292519943 rad |

1000 ° | 17.453292519943 rad |

### How to Convert Degree to Radian

1 ° = 0.017453292519943 rad

1 rad = 57.295779513082 °

**Example:** convert 15 ° to rad:

15 ° = 15 × 0.017453292519943 rad = 0.26179938779915 rad