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Revolutions to Seconds of Arc Converter

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

1 rev = 1,296,000 ″

Show the working
  1. 1 rev = 1296000 ″
  2. 1 × 1296000 = 1296000 ″

How to convert revolutions to seconds of arc

1 rev = 1,296,000 ″, so multiply by 1,296,000 to go from revolutions (turns) to seconds of arc. Going the other way, 1 ″ = 7.71604938272 × 10⁻⁷ rev.

″ = rev × 1,296,000
rev = ″ × 7.71604938272

Worked example:

1 rev = 1296000 ″
5 × 1296000 = 6480000 ″

Revolutions to seconds of arc table

RevolutionsSeconds of Arc
1 rev1,296,000 ″
2 rev2,592,000 ″
3 rev3,888,000 ″
4 rev5,184,000 ″
5 rev6,480,000 ″
6 rev7,776,000 ″
7 rev9,072,000 ″
8 rev10,368,000 ″
9 rev11,664,000 ″
10 rev12,960,000 ″
15 rev19,440,000 ″
20 rev25,920,000 ″
25 rev32,400,000 ″
30 rev38,880,000 ″
40 rev51,840,000 ″
50 rev64,800,000 ″
75 rev97,200,000 ″
100 rev129,600,000 ″
250 rev324,000,000 ″
500 rev648,000,000 ″
1000 rev1,296,000,000 ″

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.
Seconds of Arc (″)
Seconds 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