Convert Circles to Milliradians

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

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Results in Milliradians:
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1 cir = 6,283.185307 mrad

How to Convert Circles to Milliradians

Protractors are often used to measure angle

To convert a circle measurement to a milliradian measurement, multiply the angle by the conversion ratio. One circle is equal to 6,283.185307 milliradians, so use this simple formula to convert:

milliradians = circles × 6,283.185307

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

For example, here's how to convert 5 circles to milliradians using the formula above.
5 cir = (5 × 6,283.185307) = 31,415.926536 mrad

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

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.

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.

Circle to Milliradian Conversion Table

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