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Minutes of Arc to Revolutions Converter

Convert minutes of arc (′) 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
4.62962962963 × 10⁻⁵ rev
radians
0.000290888208666 rad
milliradians
0.290888208666 mrad
degrees
0.0166666666667 °
seconds of arc
60 ″
gradians (gons)
0.0185185185185 gon
mils (NATO, 6,400 per turn)
0.296296296296 mil

1 ′ = 4.62962962963 × 10⁻⁵ rev

Show the working
  1. 1 ′ = 4.62962962963e-5 rev
  2. 1 × 4.62962962963e-5 = 4.62962962963e-5 rev

How to convert minutes of arc to revolutions

1 rev = 21,600 ′, so divide by 21,600 to go from minutes of arc to revolutions (turns) (1 ′ = 4.62962962963 × 10⁻⁵ rev).

rev = ′ ÷ 21,600
′ = rev × 21,600

Worked example:

1 ′ = 4.62962962963e-5 rev
5 × 4.62962962963e-5 = 0.000231481481481 rev

Minutes of Arc to revolutions table

Minutes of ArcRevolutions
1 ′4.62962962963 × 10⁻⁵ rev
2 ′9.25925925926 × 10⁻⁵ rev
3 ′0.000138888888889 rev
4 ′0.000185185185185 rev
5 ′0.000231481481481 rev
6 ′0.000277777777778 rev
7 ′0.000324074074074 rev
8 ′0.00037037037037 rev
9 ′0.000416666666667 rev
10 ′0.000462962962963 rev
15 ′0.000694444444444 rev
20 ′0.000925925925926 rev
25 ′0.00115740740741 rev
30 ′0.00138888888889 rev
40 ′0.00185185185185 rev
50 ′0.00231481481481 rev
75 ′0.00347222222222 rev
100 ′0.00462962962963 rev
250 ′0.0115740740741 rev
500 ′0.0231481481481 rev
1000 ′0.0462962962963 rev

About the units

Minutes of Arc (′)
Minutes of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. 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