Milliradians to Circles Conversion (mrad to cir)

Milliradians to Circles Converter

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

Have a Question or Feedback?

Result in Circles:

1 mrad = 0.000159 cir

How to Convert Milliradians to Circles

To convert a measurement in milliradians to a measurement in circles, multiply the angle by the following conversion ratio: 0.000159 circles/milliradian.

Since one milliradian is equal to 0.000159 circles, you can use this simple formula to convert:

circles = milliradians × 0.000159

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

For example, here's how to convert 5,000 milliradians to circles using the formula above.

circles = (5,000 mrad × 0.000159) = 0.795775 cir

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

What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees 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 thousandths, or 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.

Learn more about milliradians.

What Is a Circle?

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.

A circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.

Learn more about circles.

Milliradian to Circle Conversion Table

Table showing various milliradian measurements converted to circles.
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
20 mrad	0.003183 cir
30 mrad	0.004775 cir
40 mrad	0.006366 cir
50 mrad	0.007958 cir
60 mrad	0.009549 cir
70 mrad	0.011141 cir
80 mrad	0.012732 cir
90 mrad	0.014324 cir
100 mrad	0.015915 cir
200 mrad	0.031831 cir
300 mrad	0.047746 cir
400 mrad	0.063662 cir
500 mrad	0.079577 cir
600 mrad	0.095493 cir
700 mrad	0.111408 cir
800 mrad	0.127324 cir
900 mrad	0.143239 cir
1,000 mrad	0.159155 cir
2,000 mrad	0.31831 cir
3,000 mrad	0.477465 cir
4,000 mrad	0.63662 cir
5,000 mrad	0.795775 cir
6,000 mrad	0.95493 cir
7,000 mrad	1.1141 cir
8,000 mrad	1.2732 cir
9,000 mrad	1.4324 cir
10,000 mrad	1.5915 cir

Table showing various milliradian measurements converted to circles.

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

20 mrad

0.003183 cir

30 mrad

0.004775 cir

40 mrad

0.006366 cir

50 mrad

0.007958 cir

60 mrad

0.009549 cir

70 mrad

0.011141 cir

80 mrad

0.012732 cir

90 mrad

0.014324 cir

100 mrad

0.015915 cir

200 mrad

0.031831 cir

300 mrad

0.047746 cir

400 mrad

0.063662 cir

500 mrad

0.079577 cir

600 mrad

0.095493 cir

700 mrad

0.111408 cir

800 mrad

0.127324 cir

900 mrad

0.143239 cir

1,000 mrad

0.159155 cir

2,000 mrad

0.31831 cir

3,000 mrad

0.477465 cir

4,000 mrad

0.63662 cir

5,000 mrad

0.795775 cir

6,000 mrad

0.95493 cir

7,000 mrad

1.1141 cir

8,000 mrad

1.2732 cir

9,000 mrad

1.4324 cir

10,000 mrad

1.5915 cir