# Convert Radians to Degrees

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

Converting a radian angle measurement to a degree measurement involves multiplying your angle by the conversion ratio to find the result. A radian is equal to 57.29578 degrees, so to convert simply multiply by 57.29578.

For example, 5rad = (5 × 57.29578) = 286.478898°.

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

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
- 1rad is equal to 63.661977 grad
- Convert to Revolutions Angle
- 1rad is equal to 0.159155 revolutions
- Convert to Circles Angle
- 1rad is equal to 0.159155 circles
- Convert to Mils Angle
- 1rad is equal to 1,019 mils

## Radian Measurements and Equivalent Degree Conversions

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

1 | 57.3 | 21 | 1,203 | 41 | 2,349 |

2 | 114.59 | 22 | 1,261 | 42 | 2,406 |

3 | 171.89 | 23 | 1,318 | 43 | 2,464 |

4 | 229.18 | 24 | 1,375 | 44 | 2,521 |

5 | 286.48 | 25 | 1,432 | 45 | 2,578 |

6 | 343.77 | 26 | 1,490 | 46 | 2,636 |

7 | 401.07 | 27 | 1,547 | 47 | 2,693 |

8 | 458.37 | 28 | 1,604 | 48 | 2,750 |

9 | 515.66 | 29 | 1,662 | 49 | 2,807 |

10 | 572.96 | 30 | 1,719 | 50 | 2,865 |

11 | 630.25 | 31 | 1,776 | 51 | 2,922 |

12 | 687.55 | 32 | 1,833 | 52 | 2,979 |

13 | 744.85 | 33 | 1,891 | 53 | 3,037 |

14 | 802.14 | 34 | 1,948 | 54 | 3,094 |

15 | 859.44 | 35 | 2,005 | 55 | 3,151 |

16 | 916.73 | 36 | 2,063 | 56 | 3,209 |

17 | 974.03 | 37 | 2,120 | 57 | 3,266 |

18 | 1,031 | 38 | 2,177 | 58 | 3,323 |

19 | 1,089 | 39 | 2,235 | 59 | 3,380 |

20 | 1,146 | 40 | 2,292 | 60 | 3,438 |