# Degrees to Milliradians Conversion

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

**Results in Milliradians:**

## How to Convert Degrees to Milliradians

To convert a degree measurement to a milliradian measurement, multiply the angle by the conversion ratio. One degree is equal to 17.453293 milliradians, so use this simple formula to convert:

The angle in milliradians is equal to the degrees multiplied by 17.453293.

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

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

## 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.

## 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.

## Degree to Milliradian Conversion Table

Degrees | Milliradians |
---|---|

1° | 17.45 mrad |

2° | 34.91 mrad |

3° | 52.36 mrad |

4° | 69.81 mrad |

5° | 87.27 mrad |

6° | 104.72 mrad |

7° | 122.17 mrad |

8° | 139.63 mrad |

9° | 157.08 mrad |

10° | 174.53 mrad |

11° | 191.99 mrad |

12° | 209.44 mrad |

13° | 226.89 mrad |

14° | 244.35 mrad |

15° | 261.8 mrad |

16° | 279.25 mrad |

17° | 296.71 mrad |

18° | 314.16 mrad |

19° | 331.61 mrad |

20° | 349.07 mrad |

21° | 366.52 mrad |

22° | 383.97 mrad |

23° | 401.43 mrad |

24° | 418.88 mrad |

25° | 436.33 mrad |

26° | 453.79 mrad |

27° | 471.24 mrad |

28° | 488.69 mrad |

29° | 506.15 mrad |

30° | 523.6 mrad |

31° | 541.05 mrad |

32° | 558.51 mrad |

33° | 575.96 mrad |

34° | 593.41 mrad |

35° | 610.87 mrad |

36° | 628.32 mrad |

37° | 645.77 mrad |

38° | 663.23 mrad |

39° | 680.68 mrad |

40° | 698.13 mrad |

## References

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