radians to revolutions
Convert radian to revolution (turn) — instant, free, with the formula shown.
1 rad=0.15915494 rev
How to convert radian to revolution (turn)
To convert radian to revolution (turn), multiply by 0.15915494:
rev = rad × 0.15915494
For example, 10 rad × 0.159155 = 1.59154943 rev.
rad to rev conversion table
| radians (rad) | revolutions (rev) |
|---|---|
| 1 rad | 0.15915494 rev |
| 2 rad | 0.31830989 rev |
| 5 rad | 0.79577472 rev |
| 10 rad | 1.59154943 rev |
| 25 rad | 3.97887358 rev |
| 50 rad | 7.95774715 rev |
| 100 rad | 15.91549431 rev |
| 250 rad | 39.78873577 rev |
| 500 rad | 79.57747155 rev |
| 1000 rad | 159.15494309 rev |
Other radian conversions
Convert to revolution (turn) from another unit
rad to rev — frequently asked
How many revolutions are in 1 radian?
1 radian = 0.15915494 revolutions (rad × 0.159155 = rev).
What is the formula to convert radian to revolution (turn)?
Multiply your radian value by 0.15915494 to get revolution (turn).
How do I convert 10 radians to revolutions?
10 rad = 1.59154943 rev. For 100 rad the answer is 15.91549431 rev. Use the calculator on this page for any other value.
When to convert radian to revolution (turn)
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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