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 6.283185307 radians. Going the other way, 1 radian = 0.1591549431 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 = 282.7433388 rad
revolutions to radians conversion chart
Use this revolutions to radians table for quick reference without typing anything.
| revolutions (rev) | radians (rad) |
|---|---|
| 1 rev | 6.283185307 rad |
| 5 rev | 31.41592654 rad |
| 10 rev | 62.83185307 rad |
| 15 rev | 94.24777961 rad |
| 30 rev | 188.4955592 rad |
| 45 rev | 282.7433388 rad |
| 60 rev | 376.9911184 rad |
| 90 rev | 565.4866776 rad |
| 180 rev | 1,130.973355 rad |
| 270 rev | 1,696.460033 rad |
| 360 rev | 2,261.946711 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 6.283185307 radians. Going the other way, 1 radians is 0.1591549431 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 62.83185307 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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