DEGREES Function

Excel Functions › Math & Trig

All versions Math & Trig

The Excel DEGREES function converts an angle measured in radians into degrees — the natural partner to RADIANS and the way you turn the radian output of inverse trig functions back into readable degrees.


Quick answer:
=DEGREES(PI()) pi radians = 180 degrees

Syntax

=DEGREES(angle)
ArgumentDescription
angleRequiredThe angle in radians you want to convert to degrees.

How to use it

DEGREES applies the simple conversion degrees = radians × 180/π. Its most common job is reading back the result of an inverse trig function, which Excel always returns in radians:

=DEGREES(PI()) // pi rad = 180
=DEGREES(PI()/2) // half pi = 90
=DEGREES(ATAN(1)) // atan(1) = 45

To go the other way — degrees into radians for SIN, COS, and TAN — use RADIANS. The two functions are exact inverses: =DEGREES(RADIANS(57)) returns 57.

Reading inverse trig: ASIN, ACOS, and ATAN all return an angle in radians. Wrap them in DEGREES — e.g. =DEGREES(ASIN(0.5)) = 30 — to see the answer in familiar degrees.

Try it: interactive demo

Live demo

Pick a DEGREES example to see the formula and its result.

Result:

Practice workbook

📊
Download the free DEGREES practice workbook
Every example on this page, ready to open in Excel — plus practice challenges with answers on a separate tab. No sign-up required.

Frequently asked questions

How does DEGREES convert the value?
It multiplies the radian value by 180/π. So =DEGREES(PI()) = 180 and =DEGREES(1) ≈ 57.296.
When would I actually need DEGREES?
Mostly to read back inverse trig results, which Excel returns in radians. =DEGREES(ATAN(1)) turns the radian answer into a clean 45.
What is the difference between DEGREES and RADIANS?
They are opposites. RADIANS turns degrees into radians (for feeding SIN/COS/TAN); DEGREES turns radians into degrees (for reading results). =DEGREES(RADIANS(57)) returns 57.
Does DEGREES round its result?
No. It returns the exact converted value with full precision; =DEGREES(1) is 57.2957795... Use ROUND if you want fewer decimals.

Master functions like this in one day

This page covers one function. Our Excel Formulas and Functions class covers the 30 that matter most — live, hands-on, taught by professionals in Dallas–Fort Worth, Houston, Austin, Oklahoma City, Denver, or online.

See the Formulas & Functions Class

Related functions: RADIANS · PI · SIN · COS · ATAN · ASIN