revolutions to radians
Convert revolution (turn) to radian — instant, free, with the formula shown.
1 rev=6.28318531 rad
How to convert revolution (turn) to radian
To convert revolution (turn) to radian, multiply by 6.28318531:
rad = rev × 6.28318531
For example, 10 rev × 6.283185 = 62.83185307 rad.
rev to rad conversion table
| revolutions (rev) | radians (rad) |
|---|---|
| 1 rev | 6.28318531 rad |
| 2 rev | 12.56637061 rad |
| 5 rev | 31.41592654 rad |
| 10 rev | 62.83185307 rad |
| 25 rev | 157.07963268 rad |
| 50 rev | 314.15926536 rad |
| 100 rev | 628.31853072 rad |
| 250 rev | 1570.79632679 rad |
| 500 rev | 3141.59265359 rad |
| 1000 rev | 6283.18530718 rad |
Other revolution (turn) conversions
Convert to radian from another unit
rev to rad — frequently asked
How many radians are in 1 revolution (turn)?
1 revolution (turn) = 6.28318531 radians (rev × 6.283185 = rad).
What is the formula to convert revolution (turn) to radian?
Multiply your revolution (turn) value by 6.28318531 to get radian.
How do I convert 10 revolutions to radians?
10 rev = 62.83185307 rad. For 100 rev the answer is 628.31853072 rad. Use the calculator on this page for any other value.
When to convert revolution (turn) to radian
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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