# Gradians To Radians Conversion

1 grad = 0.0157079633 rad

Want to convert from radians to gradians instead?

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## How to convert gradians to radians (grad to rad)

The formula for converting gradians to radians is: rad = grad × 0.0157079633. To calculate the gradian value in radians first substitute the gradian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 gradian in radians we follow these steps:

rad = grad × 0.0157079633

rad = 1 × 0.0157079633

rad = 0.0157079633

In other words, 1 gradian is equal to 0.0157079633 radians.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 gradians to radians is:

- Understand the conversion formula: rad = grad × 0.0157079633
- Substitute the required value. In this case we substitute 6 for grad so the formula becomes: rad = 6 × 0.0157079633
- Calculate the result using the provided values. In our example the result is: 6 × 0.0157079633 = 0.0942477798 rad

In summary, 6 gradians is equal to 0.0942477798 radians.

## Converting radians to gradians

In order to convert the other way around i.e. radians to gradians, you would use the following formula: grad = rad × 63.6619771068602. To convert radians to gradians first substitute the radian value into the above formula, and then execute the calculation. If we wanted to calculate 1 radian in gradians we follow these steps:

grad = rad × 63.6619771068602

g1 = rad × 63.6619771068602

grad = 63.6619771068602

Or in other words, 1 radian is equal to 63.6619771068602 gradians.

## Conversion Unit Definitions

### What is a Gradian?

### What is a Radian?

## Gradians To Radians Conversion Table

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

Gradian (grad) | Radian (rad) |
---|---|

1 grad | 0.0157079633 rad |

2 grad | 0.0314159266 rad |

3 grad | 0.0471238899 rad |

4 grad | 0.0628318532 rad |

5 grad | 0.0785398165 rad |

6 grad | 0.0942477798 rad |

7 grad | 0.1099557431 rad |

8 grad | 0.1256637064 rad |

9 grad | 0.1413716697 rad |

10 grad | 0.157079633 rad |

11 grad | 0.1727875963 rad |

12 grad | 0.1884955596 rad |

13 grad | 0.2042035229 rad |

## Other Common Gradian Conversions

Below is a table of common conversions from gradians to other angle units.

Conversion | Result |
---|---|

1 gradian in degrees | 0.9 ° |