# Revolutions To Radians Conversion

1 rev = 6.28318530685963 rad

Want to convert from radians to revolutions instead?

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## How to convert revolutions to radians (rev to rad)

The formula for converting revolutions to radians is: rad = rev × 6.28318530685963. To calculate the revolution value in radians first substitute the revolution value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 revolution in radians we follow these steps:

rad = rev × 6.28318530685963

rad = 1 × 6.28318530685963

rad = 6.28318530685963

In other words, 1 revolution is equal to 6.28318530685963 radians.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 9 revolutions to radians is:

- Understand the conversion formula: rad = rev × 6.28318530685963
- Substitute the required value. In this case we substitute 9 for rev so the formula becomes: rad = 9 × 6.28318530685963
- Calculate the result using the provided values. In our example the result is: 9 × 6.28318530685963 = 56.54866776173667 rad

In summary, 9 revolutions is equal to 56.54866776173667 radians.

## Converting radians to revolutions

In order to convert the other way around i.e. radians to revolutions, you would use the following formula: rev = rad × 0.1591549431. To convert radians to revolutions first substitute the radian value into the above formula, and then execute the calculation. If we wanted to calculate 1 radian in revolutions we follow these steps:

rev = rad × 0.1591549431

rev = 1 × 0.1591549431

rev = 0.1591549431

Or in other words, 1 radian is equal to 0.1591549431 revolutions.

## Conversion Unit Definitions

### What is a Revolution?

### What is a Radian?

## Revolutions To Radians Conversion Table

Below is a lookup table showing common revolutions to radians conversion values.

Revolution (rev) | Radian (rad) |
---|---|

1 rev | 6.28318530685963 rad |

2 rev | 12.56637061371926 rad |

3 rev | 18.84955592057889 rad |

4 rev | 25.13274122743852 rad |

5 rev | 31.41592653429815 rad |

6 rev | 37.69911184115778 rad |

7 rev | 43.98229714801741 rad |

8 rev | 50.26548245487704 rad |

9 rev | 56.54866776173667 rad |

10 rev | 62.8318530685963 rad |

11 rev | 69.11503837545593 rad |

12 rev | 75.39822368231556 rad |

13 rev | 81.68140898917519 rad |