Convert Milliradians to Degrees

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

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1 mrad = 0.057296°
1 mrad = 0° 3′ 26.27″

How to Convert Milliradians to Degrees

conversion scale showing milliradians and equivalent degrees angle values

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:

degrees = milliradians × 0.057296

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.
5 mrad = (5 × 0.057296) = 0.286479°

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. 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 Measurements and Equivalent Degree Conversions

Common milliradian values converted to the equivalent degree 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″

More Milliradian Angle Conversions

Convert to Radians
1 mrad is equal to 0.001 radians
Convert to Minutes Of Arc
1 mrad is equal to 3.437747 minutes of arc
Convert to Seconds Of Arc
1 mrad is equal to 206.264806 seconds of arc
Convert to Gradians
1 mrad is equal to 0.063662 gradians
Convert to Revolutions
1 mrad is equal to 0.000159 revolutions
Convert to Circles
1 mrad is equal to 0.000159 circles
Convert to Mils (NATO)
1 mrad is equal to 1.018592 mils (NATO)