Convert Radians to Milliradians

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

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1 rad = 1,000 mrad

How to Convert Radians to Milliradians

conversion scale showing radians and equivalent milliradians angle values

To convert a radian measurement to a milliradian measurement, multiply the angle by the conversion ratio. One radian is equal to 1,000 milliradians, so use this simple formula to convert:

milliradians = radians × 1,000

The angle in milliradians is equal to the radians multiplied by 1,000.

For example, here's how to convert 5 radians to milliradians using the formula above.
5 rad = (5 × 1,000) = 5,000 mrad

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

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.

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.

Radian Measurements and Equivalent Milliradian Conversions

Common radian values converted to the equivalent milliradian value
Radians Milliradians
1 rad 1,000 mrad
2 rad 2,000 mrad
3 rad 3,000 mrad
4 rad 4,000 mrad
5 rad 5,000 mrad
6 rad 6,000 mrad
7 rad 7,000 mrad
8 rad 8,000 mrad
9 rad 9,000 mrad
10 rad 10,000 mrad
11 rad 11,000 mrad
12 rad 12,000 mrad
13 rad 13,000 mrad
14 rad 14,000 mrad
15 rad 15,000 mrad
16 rad 16,000 mrad
17 rad 17,000 mrad
18 rad 18,000 mrad
19 rad 19,000 mrad
20 rad 20,000 mrad
21 rad 21,000 mrad
22 rad 22,000 mrad
23 rad 23,000 mrad
24 rad 24,000 mrad
25 rad 25,000 mrad
26 rad 26,000 mrad
27 rad 27,000 mrad
28 rad 28,000 mrad
29 rad 29,000 mrad
30 rad 30,000 mrad
31 rad 31,000 mrad
32 rad 32,000 mrad
33 rad 33,000 mrad
34 rad 34,000 mrad
35 rad 35,000 mrad
36 rad 36,000 mrad
37 rad 37,000 mrad
38 rad 38,000 mrad
39 rad 39,000 mrad
40 rad 40,000 mrad

More Radian Angle Conversions

Convert to Degrees
1 rad is equal to 57.29578 degrees
Convert to Minutes Of Arc
1 rad is equal to 3,437.75 minutes of arc
Convert to Seconds Of Arc
1 rad is equal to 206,264.8 seconds of arc
Convert to Gradians
1 rad is equal to 63.661977 gradians
Convert to Revolutions
1 rad is equal to 0.159155 revolutions
Convert to Circles
1 rad is equal to 0.159155 circles
Convert to Mils (NATO)
1 rad is equal to 1,018.59 mils (NATO)