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## How to convert degrees to radians (° to rad)

The formula for converting degrees to radians is: rad = ° × 0.0174532925. To calculate the degree value in radians first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in radians we follow these steps:

rad = ° × 0.0174532925

rad = 1 × 0.0174532925

rad = 0.0174532925

In other words, 1 degree is equal to 0.0174532925 radians.

## Example Conversion

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

- Understand the conversion formula: rad = ° × 0.0174532925
- Substitute the required value. In this case we substitute 9 for ° so the formula becomes: rad = 9 × 0.0174532925
- Calculate the result using the provided values. In our example the result is: 9 × 0.0174532925 = 0.1570796325 rad

In summary, 9 degrees is equal to 0.1570796325 radians.

## Converting radians to degrees

In order to convert the other way around i.e. radians to degrees, you would use the following formula: ° = rad × 57.2957795785523. To convert radians to degrees first substitute the radian value into the above formula, and then execute the calculation. If we wanted to calculate 1 radian in degrees we follow these steps:

° = rad × 57.2957795785523

° = 1 × 57.2957795785523

° = 57.2957795785523

Or in other words, 1 radian is equal to 57.2957795785523 degrees.

## Conversion Unit Definitions

### What is a Degree?

### What is a Radian?

## Degrees To Radians Conversion Table

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

Degree (°) | Radian (rad) |
---|---|

1 ° | 0.0174532925 rad |

2 ° | 0.034906585 rad |

3 ° | 0.0523598775 rad |

4 ° | 0.06981317 rad |

5 ° | 0.0872664625 rad |

6 ° | 0.104719755 rad |

7 ° | 0.1221730475 rad |

8 ° | 0.13962634 rad |

9 ° | 0.1570796325 rad |

10 ° | 0.174532925 rad |

11 ° | 0.1919862175 rad |

12 ° | 0.20943951 rad |

13 ° | 0.2268928025 rad |