Degrees to Milliradians Converter
Enter the angle in degrees below to get the value converted to 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:
The angle in milliradians is equal to the angle in degrees multiplied by 17.453293.

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