Convert Milliradians to Circles

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

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1 mrad = 0.000159 cir

How to Convert Milliradians to Circles

Protractors are often used to measure angle

To convert a milliradian measurement to a circle measurement, multiply the angle by the conversion ratio. One milliradian is equal to 0.000159 circles, so use this simple formula to convert:

circles = milliradians × 0.000159

The angle in circles is equal to the milliradians multiplied by 0.000159.

For example, here's how to convert 5 milliradians to circles using the formula above.
5 mrad = (5 × 0.000159) = 0.000796 cir

Milliradians and circles 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.

Circles

A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir, for example 1 circle can be written as 1 cir.

Milliradian Measurements and Equivalent Circle Conversions

Common milliradian values converted to the equivalent circle value
Milliradians Circles
1 mrad 0.000159 cir
2 mrad 0.000318 cir
3 mrad 0.000477 cir
4 mrad 0.000637 cir
5 mrad 0.000796 cir
6 mrad 0.000955 cir
7 mrad 0.001114 cir
8 mrad 0.001273 cir
9 mrad 0.001432 cir
10 mrad 0.001592 cir
11 mrad 0.001751 cir
12 mrad 0.00191 cir
13 mrad 0.002069 cir
14 mrad 0.002228 cir
15 mrad 0.002387 cir
16 mrad 0.002546 cir
17 mrad 0.002706 cir
18 mrad 0.002865 cir
19 mrad 0.003024 cir
20 mrad 0.003183 cir
21 mrad 0.003342 cir
22 mrad 0.003501 cir
23 mrad 0.003661 cir
24 mrad 0.00382 cir
25 mrad 0.003979 cir
26 mrad 0.004138 cir
27 mrad 0.004297 cir
28 mrad 0.004456 cir
29 mrad 0.004615 cir
30 mrad 0.004775 cir
31 mrad 0.004934 cir
32 mrad 0.005093 cir
33 mrad 0.005252 cir
34 mrad 0.005411 cir
35 mrad 0.00557 cir
36 mrad 0.00573 cir
37 mrad 0.005889 cir
38 mrad 0.006048 cir
39 mrad 0.006207 cir
40 mrad 0.006366 cir

More Milliradian Angle Conversions

Convert to Radians
1 mrad is equal to 0.001 radians
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 Mils (NATO)
1 mrad is equal to 1.018592 mils (NATO)