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 Measurements and Equivalent Milliradian Conversions

Common circle values converted to the equivalent milliradian value
Circles Milliradians
1 cir 6,283 mrad
2 cir 12,566 mrad
3 cir 18,850 mrad
4 cir 25,133 mrad
5 cir 31,416 mrad
6 cir 37,699 mrad
7 cir 43,982 mrad
8 cir 50,265 mrad
9 cir 56,549 mrad
10 cir 62,832 mrad
11 cir 69,115 mrad
12 cir 75,398 mrad
13 cir 81,681 mrad
14 cir 87,965 mrad
15 cir 94,248 mrad
16 cir 100,531 mrad
17 cir 106,814 mrad
18 cir 113,097 mrad
19 cir 119,381 mrad
20 cir 125,664 mrad
21 cir 131,947 mrad
22 cir 138,230 mrad
23 cir 144,513 mrad
24 cir 150,796 mrad
25 cir 157,080 mrad
26 cir 163,363 mrad
27 cir 169,646 mrad
28 cir 175,929 mrad
29 cir 182,212 mrad
30 cir 188,496 mrad
31 cir 194,779 mrad
32 cir 201,062 mrad
33 cir 207,345 mrad
34 cir 213,628 mrad
35 cir 219,911 mrad
36 cir 226,195 mrad
37 cir 232,478 mrad
38 cir 238,761 mrad
39 cir 245,044 mrad
40 cir 251,327 mrad

More Circle Angle Conversions

Convert to Radians
1 cir is equal to 6.283185 radians
Convert to Degrees
1 cir is equal to 360 degrees
Convert to Minutes Of Arc
1 cir is equal to 21,600 minutes of arc
Convert to Seconds Of Arc
1 cir is equal to 1,296,000 seconds of arc
Convert to Gradians
1 cir is equal to 400 gradians
Convert to Revolutions
1 cir is equal to 1 revolutions
Convert to Mils (NATO)
1 cir is equal to 6,400 mils (NATO)