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## How to convert gradians to degrees (grad to °)

The formula for converting gradians to degrees is: ° = grad × 0.9. To calculate the gradian value in degrees first substitute the gradian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 gradian in degrees we follow these steps:

° = grad × 0.9

° = 1 × 0.9

° = 0.9

In other words, 1 gradian is equal to 0.9 degrees.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 7 gradians to degrees is:

- Understand the conversion formula: ° = grad × 0.9
- Substitute the required value. In this case we substitute 7 for grad so the formula becomes: ° = 7 × 0.9
- Calculate the result using the provided values. In our example the result is: 7 × 0.9 = 6.3 °

In summary, 7 gradians is equal to 6.3 degrees.

## Converting degrees to gradians

In order to convert the other way around i.e. degrees to gradians, you would use the following formula: grad = ° × 1.11111111111111. To convert degrees to gradians first substitute the degree value into the above formula, and then execute the calculation. If we wanted to calculate 1 degree in gradians we follow these steps:

grad = ° × 1.11111111111111

grad = 1 × 1.11111111111111

grad = 1.11111111111111

Or in other words, 1 degree is equal to 1.11111111111111 gradians.

## Conversion Unit Definitions

### What is a Gradian?

### What is a Degree?

## Gradians To Degrees Conversion Table

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

Gradian (grad) | Degree (°) |
---|---|

1 grad | 0.9 ° |

2 grad | 1.8 ° |

3 grad | 2.7 ° |

4 grad | 3.6 ° |

5 grad | 4.5 ° |

6 grad | 5.4 ° |

7 grad | 6.3 ° |

8 grad | 7.2 ° |

9 grad | 8.1 ° |

10 grad | 9 ° |

11 grad | 9.9 ° |

12 grad | 10.8 ° |

13 grad | 11.7 ° |

## Other Common Gradian Conversions

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

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

1 gradian in radians | 0.0157079633 rad |