Convert Circles to Milliradians

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

Results in Milliradians:

1 cir = 6,283.185307 mrad

Do you want to convert milliradians to circles?

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.

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