Convert Degrees to Milliradians

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

Results in Milliradians:
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1° = 17.453293 mrad

How to Convert Degrees to Milliradians

Protractors are often used to measure angle

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:

milliradians = degrees × 17.453293

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.
5° = (5 × 17.453293) = 87.266463 mrad

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


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.


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 Measurements and Equivalent Milliradian Conversions

Common degree values converted to the equivalent milliradian value
Degrees Milliradians
17.45 mrad
34.91 mrad
52.36 mrad
69.81 mrad
87.27 mrad
104.72 mrad
122.17 mrad
139.63 mrad
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

More Degree Angle Conversions

Convert to Radians
1° is equal to 0.017453 radians
Convert to Minutes Of Arc
1° is equal to 60 minutes of arc
Convert to Seconds Of Arc
1° is equal to 3,600 seconds of arc
Convert to Gradians
1° is equal to 1.111111 gradians
Convert to Revolutions
1° is equal to 0.002778 revolutions
Convert to Circles
1° is equal to 0.002778 circles
Convert to Mils (NATO)
1° is equal to 17.777778 mils (NATO)