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Milliradians to Revolutions Converter

Convert milliradians (mrad) to revolutions (turns) (rev), with the formula, a conversion table and exact factors.

Change the values and press Calculate to work out your own figures.

Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.

About valueA number, fraction (3/8), mixed number (1 1/2), scientific notation (2.5e6) or a simple sum such as 2*3.
About toThe unit you want the answer in. Swap exchanges the two units.
Result
Result
0.000159154943092 rev
radians
0.001 rad
degrees
0.0572957795131 °
minutes of arc
3.43774677078 ′
seconds of arc
206.264806247 ″
gradians (gons)
0.0636619772368 gon
mils (NATO, 6,400 per turn)
1.01859163579 mil

1 mrad = 0.000159154943092 rev

Show the working
  1. 1 mrad = 0.000159154943092 rev
  2. 1 × 0.000159154943092 = 0.000159154943092 rev

How to convert milliradians to revolutions

1 mrad = 0.000159154943092 rev, so multiply by 0.000159154943092 to go from milliradians to revolutions (turns). Going the other way, 1 rev = 6,283.18530718 mrad.

rev = mrad × 0.000159154943092
mrad = rev × 6,283.18530718

Worked example:

1 mrad = 0.000159154943092 rev
5 × 0.000159154943092 = 0.000795774715459 rev

Milliradians to revolutions table

MilliradiansRevolutions
1 mrad0.000159154943092 rev
2 mrad0.000318309886184 rev
3 mrad0.000477464829276 rev
4 mrad0.000636619772368 rev
5 mrad0.000795774715459 rev
6 mrad0.000954929658551 rev
7 mrad0.00111408460164 rev
8 mrad0.00127323954474 rev
9 mrad0.00143239448783 rev
10 mrad0.00159154943092 rev
15 mrad0.00238732414638 rev
20 mrad0.00318309886184 rev
25 mrad0.0039788735773 rev
30 mrad0.00477464829276 rev
40 mrad0.00636619772368 rev
50 mrad0.00795774715459 rev
75 mrad0.0119366207319 rev
100 mrad0.0159154943092 rev
250 mrad0.039788735773 rev
500 mrad0.0795774715459 rev
1000 mrad0.159154943092 rev

About the units

Milliradians (mrad)
Milliradians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
Revolutions (rev)
Revolutions (turns), a specialised unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.

Formula version 0.1.0Reviewed