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Revolutions to Milliradians Converter

Convert revolutions (turns) (rev) to milliradians (mrad), 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
6,283.18530718 mrad
radians
6.28318530718 rad
degrees
360 °
minutes of arc
21,600 ′
seconds of arc
1,296,000 ″
gradians (gons)
400 gon
mils (NATO, 6,400 per turn)
6,400 mil

1 rev = 6,283.18530718 mrad

Show the working
  1. 1 rev = 6283.18530718 mrad
  2. 1 × 6283.18530718 = 6283.18530718 mrad

How to convert revolutions to milliradians

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

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

Worked example:

1 rev = 6283.18530718 mrad
5 × 6283.18530718 = 31415.9265359 mrad

Revolutions to milliradians table

RevolutionsMilliradians
1 rev6,283.18530718 mrad
2 rev12,566.3706144 mrad
3 rev18,849.5559215 mrad
4 rev25,132.7412287 mrad
5 rev31,415.9265359 mrad
6 rev37,699.1118431 mrad
7 rev43,982.2971503 mrad
8 rev50,265.4824574 mrad
9 rev56,548.6677646 mrad
10 rev62,831.8530718 mrad
15 rev94,247.7796077 mrad
20 rev125,663.706144 mrad
25 rev157,079.632679 mrad
30 rev188,495.559215 mrad
40 rev251,327.412287 mrad
50 rev314,159.265359 mrad
75 rev471,238.898038 mrad
100 rev628,318.530718 mrad
250 rev1,570,796.32679 mrad
500 rev3,141,592.65359 mrad
1000 rev6,283,185.30718 mrad

About the units

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.
Milliradians (mrad)
Milliradians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).

Formula version 0.1.0Reviewed