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Revolutions to Degrees Converter

Convert revolutions (turns) (rev) to degrees (°), 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
360 °
radians
6.28318530718 rad
milliradians
6,283.18530718 mrad
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 = 360 °

Show the working
  1. 1 rev = 360 °
  2. 1 × 360 = 360 °

How to convert revolutions to degrees

1 rev = 360 °, so multiply by 360 to go from revolutions (turns) to degrees. Going the other way, 1 ° = 0.00277777777778 rev.

° = rev × 360
rev = ° × 0.00277777777778

Worked example:

1 rev = 360 °
5 × 360 = 1800 °

Revolutions to degrees table

RevolutionsDegrees
1 rev360 °
2 rev720 °
3 rev1,080 °
4 rev1,440 °
5 rev1,800 °
6 rev2,160 °
7 rev2,520 °
8 rev2,880 °
9 rev3,240 °
10 rev3,600 °
15 rev5,400 °
20 rev7,200 °
25 rev9,000 °
30 rev10,800 °
40 rev14,400 °
50 rev18,000 °
75 rev27,000 °
100 rev36,000 °
250 rev90,000 °
500 rev180,000 °
1000 rev360,000 °

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.
Degrees (°)
Degrees, 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