# Documentation/Calc Functions/RADIANS

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## Function name:

RADIANS

## Category:

Mathematical

## Summary:

Converts an angle expressed in degrees to radians.

## Syntax:

RADIANS(**Number**)

## Returns:

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

## Arguments:

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

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

## Additional details:

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

## Examples:

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

=RADIANS(57.2957795130823) | Convert 57.2957795130823 degrees to radians. | 1 |

=RADIANS(D1) where cell D1 contains the number 180. | Convert 180 degrees to radians. | 3.14159265358979 (π) |

=RADIANS(720) | Convert 720 degrees to radians. | 12.5663706143592 (4π) |

=RADIANS(−45) | Convert -45 degrees to radians. | −0.785398163397448 (-π/4) |

## Related LibreOffice functions:

## ODF standard:

## Related (or similar) Excel functions:

RADIANS