# Documentation/Calc Functions/DEGREES

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## Function name:

DEGREES

## Category:

Mathematical

## Summary:

Converts an angle expressed in radians to degrees.

## Syntax:

DEGREES(**Number**)

## Returns:

Returns a real number which is the value of the given angle converted to degrees.

## Arguments:

**Number** is a real number, or a reference to the cell containing that number, that is the angle in radians to be converted to degrees.

- If
**Number**is non-numeric, then DEGREES reports a #VALUE! error.

## Additional details:

- 1 radian is equivalent to approximately 57.2957795130823 degrees.
- The function implements the formula [math]\displaystyle{ \text{DEGREES}(x)~=~x*\frac{180}{\pi} }[/math].

## Examples:

Formula | Description | Returns |
---|---|---|

=DEGREES(1) | Converts 1 radian to degrees. | 57.2957795130823 |

=DEGREES(D1) where cell D1 contains the formula `=PI()` . |
Converts π radians to degrees. | 180 |

=DEGREES(12.5663706143592) | Converts 4π radians to degrees. | 720 |

=DEGREES(-PI()/4) | Converts -π/4 radians to degrees. | -45 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

DEGREES