Circles to Milliradians Converter

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


Result in Milliradians:

Loading content.
1 cir = 6,283.185307 mrad

Do you want to convert milliradians to circles?

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

More Circle & Milliradian Conversions