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:

    PI

    RADIANS

    ODF standard:

    Section 6.16.25, part 2

    Related (or similar) Excel functions:

    DEGREES