Circles to Milliradians Conversion (cir to mrad)

Circles to Milliradians Converter

Enter the angle in circles below to convert it to milliradians.

Result in Milliradians:

1 cir = 6,283.185307 mrad

How to Convert Circles to Milliradians

To convert a measurement in circles to a measurement in milliradians, multiply the angle by the following conversion ratio: 6,283.185307 milliradians/circle.

Since one circle is equal to 6,283.185307 milliradians, you can use this simple formula to convert:

milliradians = circles × 6,283.185307

The angle in milliradians is equal to the angle in circles multiplied by 6,283.185307.

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

milliradians = (5 cir × 6,283.185307) = 31,415.926536 mrad

How Many Milliradians Are in a Circle?

There are 6,283.185307 milliradians in a circle, which is why we use this value in the formula above.

1 cir = 6,283.185307 mrad

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

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.

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.

Circle to Milliradian Conversion Table

Table showing various circle measurements converted to milliradians.
Circles	Milliradians
0.001 cir	6.2832 mrad
0.002 cir	12.57 mrad
0.003 cir	18.85 mrad
0.004 cir	25.13 mrad
0.005 cir	31.42 mrad
0.006 cir	37.7 mrad
0.007 cir	43.98 mrad
0.008 cir	50.27 mrad
0.009 cir	56.55 mrad
0.01 cir	62.83 mrad
0.02 cir	125.66 mrad
0.03 cir	188.5 mrad
0.04 cir	251.33 mrad
0.05 cir	314.16 mrad
0.06 cir	376.99 mrad
0.07 cir	439.82 mrad
0.08 cir	502.65 mrad
0.09 cir	565.49 mrad
0.1 cir	628.32 mrad
0.2 cir	1,257 mrad
0.3 cir	1,885 mrad
0.4 cir	2,513 mrad
0.5 cir	3,142 mrad
0.6 cir	3,770 mrad
0.7 cir	4,398 mrad
0.8 cir	5,027 mrad
0.9 cir	5,655 mrad
1 cir	6,283 mrad

Table showing various circle measurements converted to milliradians.

Circles

Milliradians

0.001 cir

6.2832 mrad

0.002 cir

12.57 mrad

0.003 cir

18.85 mrad

0.004 cir

25.13 mrad

0.005 cir

31.42 mrad

0.006 cir

37.7 mrad

0.007 cir

43.98 mrad

0.008 cir

50.27 mrad

0.009 cir

56.55 mrad

0.01 cir

62.83 mrad

0.02 cir

125.66 mrad

0.03 cir

188.5 mrad

0.04 cir

251.33 mrad

0.05 cir

314.16 mrad

0.06 cir

376.99 mrad

0.07 cir

439.82 mrad

0.08 cir

502.65 mrad

0.09 cir

565.49 mrad

0.1 cir

628.32 mrad

0.2 cir

1,257 mrad

0.3 cir

1,885 mrad

0.4 cir

2,513 mrad

0.5 cir

3,142 mrad

0.6 cir

3,770 mrad

0.7 cir

4,398 mrad

0.8 cir

5,027 mrad

0.9 cir

5,655 mrad

1 cir

6,283 mrad