Convert revolutions to radians
revolutions to radians. Enter a value to convert, or use the revolutions to radians chart further down the page.
1 revolution equals 6.28319 radians. Going the other way, 1 radian = 0.159155 revolutions.
How to convert revolutions to radians
To convert revolutions to radians, multiply the revolution value by 6.283185307. You can also divide by 0.1591549431 to get the same answer.
rad = rev × 6.283185307
Worked example
Convert 45 rev to radians:
45 rev = 282.743 rad
revolutions to radians conversion chart
Use this revolutions to radians table for quick reference without typing anything.
| revolutions (rev) | radians (rad) |
|---|---|
| 1 rev | 6.28319 rad |
| 5 rev | 31.4159 rad |
| 10 rev | 62.8319 rad |
| 15 rev | 94.2478 rad |
| 30 rev | 188.496 rad |
| 45 rev | 282.743 rad |
| 60 rev | 376.991 rad |
| 90 rev | 565.487 rad |
| 180 rev | 1,130.97 rad |
| 270 rev | 1,696.46 rad |
| 360 rev | 2,261.95 rad |
What is a revolution?
One revolution is a complete turn: 360 degrees, or 2π radians.
What is a radian?
A radian is the angle subtended by an arc equal in length to the radius. A full turn is 2π radians, so 1 rad ≈ 57.2958°.
Frequently asked questions
How many radians are in a revolution?
1 revolutions equals 6.28319 radians. Going the other way, 1 radians is 0.159155 revolutions.
How do you convert revolutions to radians?
To convert revolutions to radians, multiply the revolution value by 6.283185307. You can also divide by 0.1591549431 to get the same answer.
What is 10 revolutions in radians?
10 revolutions equals 62.8319 radians. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert revolutions to other units
- radians to revolutions
- revolutions to degrees
- revolutions to gradians
- revolutions to arcminutes
- revolutions to arcseconds
Convert other units to radians
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