Math & Trig

DEGREES Formula

DEGREES converts an angle from radians to degrees by multiplying by 180/π. Since all spreadsheet trig functions (SIN, COS, TAN, etc.) return radians, DEGREES is essential for converting results to the more familiar degree format used in everyday angle measurements, navigation, and construction.

Syntax

DEGREES(angle)
ParameterDescription
angle Parameter of the DEGREES function.
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Examples

Pi to degrees

Formula
=DEGREES(PI())
Returns 180. π radians equals 180 degrees — a half rotation.

Convert ATAN result

Formula
=DEGREES(ATAN(1))
Returns 45. ATAN(1) returns π/4 radians, which DEGREES converts to the more intuitive 45°.

Full circle

Formula
=DEGREES(2*PI())
Returns 360. 2π radians is a complete 360-degree rotation.

Common Errors

#VALUE!

Non-numeric input returns #VALUE!. The argument must be a number.

Tips

Pair with inverse trig

Always wrap ASIN, ACOS, ATAN, ATAN2 results in DEGREES when you want degree output: =DEGREES(ASIN(0.5)) gives 30.

Manual conversion

DEGREES(x) is equivalent to x × 180 / PI(). The function is just a convenient shorthand.

One-way conversion

DEGREES converts radians → degrees. Use RADIANS for the reverse: degrees → radians.

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