# Convert Degrees to Radians

## Learn How to Convert Degrees to Radians Using our Conversion Formula

Converting a degree angle measurement to a radian measurement involves multiplying your angle by the conversion ratio to find the result. A degree is equal to 0.017453 radians, so to convert simply multiply by 0.017453.

For example, 5° = (5 × 0.017453) = 0.087266rad.

Degrees and radians are both units used to measure angle. Learn more about angle and
find more angle measurement conversion calculators.
A degree is an angle measurement and can be abbreviated as *°*, for example 1°.
A radian is an angle measurement and can be abbreviated as *rad*, for example 1rad.

There are 360 degrees in a revolution, or circle. 360 has 24 divisors, and is easily divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180. This makes it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day. Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.

## More Angle Conversions

- Convert to Grad Angle
- 1° is equal to 1.111111 grad
- Convert to Revolutions Angle
- 1° is equal to 0.002778 revolutions
- Convert to Circles Angle
- 1° is equal to 0.002778 circles
- Convert to Mils Angle
- 1° is equal to 17.777778 mils

## Degree Measurements and Equivalent Radian Conversions

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

1 | 0.017453 | 21 | 0.366519 | 41 | 0.715585 |

2 | 0.034907 | 22 | 0.383972 | 42 | 0.733038 |

3 | 0.05236 | 23 | 0.401426 | 43 | 0.750492 |

4 | 0.069813 | 24 | 0.418879 | 44 | 0.767945 |

5 | 0.087266 | 25 | 0.436332 | 45 | 0.785398 |

6 | 0.10472 | 26 | 0.453786 | 46 | 0.802851 |

7 | 0.122173 | 27 | 0.471239 | 47 | 0.820305 |

8 | 0.139626 | 28 | 0.488692 | 48 | 0.837758 |

9 | 0.15708 | 29 | 0.506145 | 49 | 0.855211 |

10 | 0.174533 | 30 | 0.523599 | 50 | 0.872665 |

11 | 0.191986 | 31 | 0.541052 | 51 | 0.890118 |

12 | 0.20944 | 32 | 0.558505 | 52 | 0.907571 |

13 | 0.226893 | 33 | 0.575959 | 53 | 0.925025 |

14 | 0.244346 | 34 | 0.593412 | 54 | 0.942478 |

15 | 0.261799 | 35 | 0.610865 | 55 | 0.959931 |

16 | 0.279253 | 36 | 0.628319 | 56 | 0.977384 |

17 | 0.296706 | 37 | 0.645772 | 57 | 0.994838 |

18 | 0.314159 | 38 | 0.663225 | 58 | 1.0123 |

19 | 0.331613 | 39 | 0.680678 | 59 | 1.0297 |

20 | 0.349066 | 40 | 0.698132 | 60 | 1.0472 |