# Milliradians to Degrees Conversion

Enter the angle in milliradians below to get the value converted to degrees.

**Results in Degrees:**

1 mrad = 0° 3′ 26.27″

## How to Convert Milliradians to Degrees

To convert a milliradian measurement to a degree measurement, multiply the angle by the conversion ratio. One milliradian is equal to 0.057296 degrees, so use this simple formula to convert:

The angle in degrees is equal to the milliradians multiplied by 0.057296.

**For example,**here's how to convert 5 milliradians to degrees using the formula above.

Milliradians and degrees are both units used to measure angle. Keep reading to learn more about each unit of measure.

## Milliradians

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for 10^{-3}. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as *mrad*; for example, 1 milliradian can be written as 1 mrad.

## Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle.^{[1]} The number 360 has 24 divisors, making 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.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as *°*, and are also sometimes abbreviated as *deg*. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree, and one second is equal to 1/60th of a minute.

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.

## Milliradian to Degree Conversion Table

Milliradians | Degrees (decimal) | Degrees (minutes & seconds) |
---|---|---|

1 mrad | 0.057296" | 0° 3′ 26.27″ |

2 mrad | 0.114592" | 0° 6′ 52.53″ |

3 mrad | 0.171887" | 0° 10′ 18.79″ |

4 mrad | 0.229183" | 0° 13′ 45.06″ |

5 mrad | 0.286479" | 0° 17′ 11.32″ |

6 mrad | 0.343775" | 0° 20′ 37.59″ |

7 mrad | 0.40107" | 0° 24′ 3.85″ |

8 mrad | 0.458366" | 0° 27′ 30.12″ |

9 mrad | 0.515662" | 0° 30′ 56.38″ |

10 mrad | 0.572958" | 0° 34′ 22.65″ |

11 mrad | 0.630254" | 0° 37′ 48.91″ |

12 mrad | 0.687549" | 0° 41′ 15.18″ |

13 mrad | 0.744845" | 0° 44′ 41.44″ |

14 mrad | 0.802141" | 0° 48′ 7.71″ |

15 mrad | 0.859437" | 0° 51′ 33.97″ |

16 mrad | 0.916732" | 0° 55′ 0.24″ |

17 mrad | 0.974028" | 0° 58′ 26.5″ |

18 mrad | 1.0313" | 1° 1′ 52.77″ |

19 mrad | 1.0886" | 1° 5′ 19.03″ |

20 mrad | 1.1459" | 1° 8′ 45.3″ |

21 mrad | 1.2032" | 1° 12′ 11.56″ |

22 mrad | 1.2605" | 1° 15′ 37.83″ |

23 mrad | 1.3178" | 1° 19′ 4.09″ |

24 mrad | 1.3751" | 1° 22′ 30.36″ |

25 mrad | 1.4324" | 1° 25′ 56.62″ |

26 mrad | 1.4897" | 1° 29′ 22.88″ |

27 mrad | 1.547" | 1° 32′ 49.15″ |

28 mrad | 1.6043" | 1° 36′ 15.42″ |

29 mrad | 1.6616" | 1° 39′ 41.68″ |

30 mrad | 1.7189" | 1° 43′ 7.94″ |

31 mrad | 1.7762" | 1° 46′ 34.21″ |

32 mrad | 1.8335" | 1° 50′ 0.47″ |

33 mrad | 1.8908" | 1° 53′ 26.74″ |

34 mrad | 1.9481" | 1° 56′ 53.01″ |

35 mrad | 2.0054" | 2° 0′ 19.27″ |

36 mrad | 2.0626" | 2° 3′ 45.53″ |

37 mrad | 2.1199" | 2° 7′ 11.8″ |

38 mrad | 2.1772" | 2° 10′ 38.06″ |

39 mrad | 2.2345" | 2° 14′ 4.33″ |

40 mrad | 2.2918" | 2° 17′ 30.59″ |

## References

- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree