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

Equivalent Excel functions:

DEGREES