# Degrees to Milliradians Converter

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

## Result in Milliradians:

Do you want to convert milliradians to degrees?

## How to Convert Degrees to Milliradians

To convert a measurement in degrees to a measurement in milliradians, multiply the angle by the following conversion ratio: 17.453293 milliradians/degree.

Since one degree is equal to 17.453293 milliradians, you can use this simple formula to convert:

milliradians = degrees × 17.453293

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

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

### How Many Milliradians Are in a Degree?

There are **17.453293** milliradians in a degree, which is why we use this value in the formula above.

1° = 17.453293 mrad

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

## What Is a Degree?

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 arcminutes and arcseconds as an alternative to using the decimal form. Arcminutes and arcseconds are expressed using the prime (′) and double-prime (″) characters, respectively, although a single-quote and double-quote are often used for convenience.

One arcminute is equal to 1/60th of a degree, and one arcsecond is equal to 1/60th of an arcminute.

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.

Learn more about degrees.

## What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees 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 thousandths, or 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.

Learn more about milliradians.

## 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

## More Degree & Milliradian Conversions

- degrees to radians
- degrees to minutes of arc
- degrees to seconds of arc
- degrees to gradians
- degrees to revolutions
- degrees to circles
- degrees to mils
- radians to milliradians
- minutes of arc to milliradians
- seconds of arc to milliradians
- gradians to milliradians
- revolutions to milliradians
- circles to milliradians
- mils to milliradians