EngiRef / Angle conversion

Convert Revolutions to Radians (rev to rad)

1 rev = 6.28318531 rad. Convert revolutions to radians with the exact factor, a common-values table and a free converter.

AngleSingle factor7 worked values

Conversion factor

rad = rev × 6.28318531

1 rev = 6.28318531 rad

Multiply by 6.28318531 rad to go from revolutions to radians, or divide by it to come back. The factor and every value below are computed by the same converter that runs at /convert, so this page and the tool cannot disagree.

rev to rad table

Common revolutions values converted to radians
Revolutions (rev)Radians (rad)
1 rev6.28318531 rad
2 rev12.5663706 rad
5 rev31.4159265 rad
10 rev62.8318531 rad
20 rev125.663706 rad
50 rev314.159265 rad
100 rev628.318531 rad

Every figure is computed at build time by the site’s own converter from the angle unit registry. For a value that is not listed, put it into the interactive converter.

Frequently asked questions

How many radians are in one revolution?

One revolution is 6.28318531 rad, so 100 rev is 628.318531 rad.

What is the formula to convert revolutions to radians?

rad = rev × 6.28318531. Multiply the value in revolutions by 6.28318531 to get radians.

How do I convert radians back to revolutions?

rev = rad × 0.159154943, so 1 rad is 0.159154943 rev. The rad to rev page carries the same table in that direction.