Convert Milliradians to Radians

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

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1 mrad = 0.001 rad

How to Convert Milliradians to Radians

conversion scale showing milliradians and equivalent radians angle values

To convert a milliradian measurement to a radian measurement, multiply the angle by the conversion ratio. One milliradian is equal to 0.001 radians, so use this simple formula to convert:

radians = milliradians × 0.001

The angle in radians is equal to the milliradians multiplied by 0.001.

For example, here's how to convert 5 milliradians to radians using the formula above.
5 mrad = (5 × 0.001) = 0.005 rad

Milliradians and radians 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.

Radians

A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as c, r, or R. For example, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

Milliradian Measurements and Equivalent Radian Conversions

Common milliradian values converted to the equivalent radian value
Milliradians Radians
1 mrad 0.001 rad
2 mrad 0.002 rad
3 mrad 0.003 rad
4 mrad 0.004 rad
5 mrad 0.005 rad
6 mrad 0.006 rad
7 mrad 0.007 rad
8 mrad 0.008 rad
9 mrad 0.009 rad
10 mrad 0.01 rad
11 mrad 0.011 rad
12 mrad 0.012 rad
13 mrad 0.013 rad
14 mrad 0.014 rad
15 mrad 0.015 rad
16 mrad 0.016 rad
17 mrad 0.017 rad
18 mrad 0.018 rad
19 mrad 0.019 rad
20 mrad 0.02 rad
21 mrad 0.021 rad
22 mrad 0.022 rad
23 mrad 0.023 rad
24 mrad 0.024 rad
25 mrad 0.025 rad
26 mrad 0.026 rad
27 mrad 0.027 rad
28 mrad 0.028 rad
29 mrad 0.029 rad
30 mrad 0.03 rad
31 mrad 0.031 rad
32 mrad 0.032 rad
33 mrad 0.033 rad
34 mrad 0.034 rad
35 mrad 0.035 rad
36 mrad 0.036 rad
37 mrad 0.037 rad
38 mrad 0.038 rad
39 mrad 0.039 rad
40 mrad 0.04 rad

More Milliradian Angle Conversions

Convert to Degrees
1 mrad is equal to 0.057296 degrees
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)