Milliradians to Degrees Converter

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

SWAP UNITS
Results in Degrees:
Loading content.
1 mrad = 0.057296°
1 mrad = 0° 3′ 26.27″

Do you want to convert degrees to milliradians?


How to Convert Milliradians to Degrees

To convert a measurement in milliradians to a measurement in degrees, multiply the angle by the following conversion ratio: 0.057296 degrees/milliradian.

Since one milliradian is equal to 0.057296 degrees, you can use this simple formula to convert:

degrees = milliradians × 0.057296

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

For example, here's how to convert 5 milliradians to degrees using the formula above.
degrees = (5 mrad × 0.057296) = 0.286479°
conversion scale showing milliradians and equivalent degrees angle values

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

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.

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.

Milliradian to Degree Conversion Table

Milliradian values converted to degrees in decimal and minutes and seconds values
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

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

More Milliradian & Degree Conversions