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Revolutions to Minutes of Arc Converter

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

1 rev = 21,600 ′

Show the working
  1. 1 rev = 21600 ′
  2. 1 × 21600 = 21600 ′

How to convert revolutions to minutes of arc

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

′ = rev × 21,600
rev = ′ × 4.62962962963

Worked example:

1 rev = 21600 ′
5 × 21600 = 108000 ′

Revolutions to minutes of arc table

RevolutionsMinutes of Arc
1 rev21,600 ′
2 rev43,200 ′
3 rev64,800 ′
4 rev86,400 ′
5 rev108,000 ′
6 rev129,600 ′
7 rev151,200 ′
8 rev172,800 ′
9 rev194,400 ′
10 rev216,000 ′
15 rev324,000 ′
20 rev432,000 ′
25 rev540,000 ′
30 rev648,000 ′
40 rev864,000 ′
50 rev1,080,000 ′
75 rev1,620,000 ′
100 rev2,160,000 ′
250 rev5,400,000 ′
500 rev10,800,000 ′
1000 rev21,600,000 ′

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.
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).

Formula version 0.1.0Reviewed