DEGREES in Calligra Sheets: Convert Radians to Degrees
Express an angle given in radians as degrees, especially when displaying results of ASIN, ACOS and ATAN.
Verification status: Official documentation referenced; example outcomes independently reasoned or arithmetically checked where stated. Not executed in Calligra Sheets. How formula examples are checked
DEGREES in Calligra Sheets
Quick answer
DEGREES: Express an angle given in radians as degrees, especially when displaying results of ASIN, ACOS and ATAN. For a first check, see the six-row worksheet below. All shown outputs are expected values independently calculated from the documented mathematical function; they have not been observed in native Calligra Sheets.
What DEGREES does and when to use it
DEGREES multiplies a radian angle by 180/π. It is useful after inverse trigonometric functions because ASIN, ACOS and ATAN return radians.
The conversion is linear and does not constrain the result to 0–360°. It is not a compass-bearing or angle-wrapping function.
Exact Calligra syntax and arguments
=DEGREES(value)
The official KDE Calligra Sheets function list displays DEGREES(Float) and describes its return value as floating-point. In that notation Float denotes the required numeric input; it is not a keyword to type in a formula. The function takes one required argument, with no documented optional parameters or default values.
- Argument: angle — required floating-point numeric value or cell reference measured in radians; no optional inputs or documented defaults. The return value is a floating-point angle in degrees.
- Mathematical rule:
degrees = radians × 180 / π. - Documented reference example: The KDE handbook gives
DEGREES(1)≈ 57.29 andDEGREES(0.78)≈ 44.69 (rounded). - Version and scope: This function is listed in the online KDE stable-KF6 handbook (the longer handbook is older than the current application) and separately identified in the recorded Calligra 26.08.2 source registry as
func_degreesin thetrigmodule. The 26.08.2 KDE Gear release is dated October 8, 2026. Registry presence is release-scoped evidence, not a claim that a particular installed binary has been executed. Platform builds may differ; the Calligra download page focuses on Linux distribution packages/Flatpak and describes Windows work as ongoing.
Formula entry and locale: A formula cell begins with =. The KDE formula editor instructions use a semicolon (;) between arguments of multi-argument functions; DEGREES itself has one argument. This page uses an English-style period for decimal numbers (for example, 0.5). Regional numeric formats, separators and localized display strings can differ; use Insert → Function to inspect the function help in your installed language, and never blindly convert between comma-decimal locales and the examples here.
Reproducible worksheet — six examples
- In a blank sheet enter
Label,Input,Resultin A1, B1 and C1. - In B2:B7 enter the expressions exactly as printed, including their leading
=, so the cells calculate numeric radian values rather than storing the expressions as strings. - Enter
=DEGREES(B2)in C2; copy/fill it down to C7, allowing each row reference to update naturally. - Format C2:C7 to six decimals for comparison. The table’s six-digit figures are rounded expectations, not exact binary-floating-point checks.
| Row | A: Label | B: radian input formula | Formula for C | Expected C value |
|---|---|---|---|---|
| 2 | Zero | =0 |
=DEGREES(B2) |
0.000000 |
| 3 | Sixth of π | =PI()/6 |
=DEGREES(B3) |
30.000000 |
| 4 | Quarter of π | =PI()/4 |
=DEGREES(B4) |
45.000000 |
| 5 | Half of π | =PI()/2 |
=DEGREES(B5) |
90.000000 |
| 6 | Negative half π | =-PI()/2 |
=DEGREES(B6) |
-90.000000 |
| 7 | Full π | =PI() |
=DEGREES(B7) |
180.000000 |
Check: Compare the inputs row-by-row. If a result differs, verify the numeric cell values, function spelling, formula entry, chosen input units and decimal display precision before concluding the function is wrong. The table’s expected six-decimal values were generated using independent Python math calculations.
Advanced application — Display the angle of a slope in degrees
Suppose a ramp has horizontal run = 4 and vertical rise = 3 (both in metres). Enter run 4 in E2 and rise 3 in F2. For a positive horizontal run, the inclination angle can be displayed in degrees with:
=DEGREES(ATAN(F2/E2))
Expected result: 36.869898° (six-decimal display). ATAN(3/4) returns a radian angle; DEGREES makes the answer interpretable on a drawing. This formula assumes E2 is nonzero and a simple signed slope angle is adequate. For coordinates in any quadrant, inspect the separately documented ATAN2 convention instead of blindly dividing by the run. DEGREES does not determine the quadrant itself.
Errors, limitations and troubleshooting
- Wrong input unit: do not apply
DEGREESto a value already in degrees.DEGREES(90)means 90 radians, not 90°. - Radian result from an inverse function:
ASIN,ACOSandATANreturn radians, soDEGREES(ASIN(0.5))is expected to be 30. - Signed values and large rotations: negative and greater-than-2π inputs convert arithmetically; this does not wrap an angle into a compass heading.
- Displayed decimals: π is a floating approximation; use cell formatting, not extra conversions, to present rounded degrees.
- Text cells: a pasted value containing
radis text unless parsed to a number. No exact universal text-input error was validated. - Different expected answer: compare the source unit, referenced cell and matching row first.
Excel and LibreOffice Calc compatibility
Excel and LibreOffice Calc also document DEGREES as radians-to-degrees. The principal mathematical meaning is portable, but imported text, rounding, display precision and localized formula punctuation can vary; no Excel/Calc transfer test was executed.
The equivalent operation and examples are documented in Microsoft Excel help and LibreOffice Calc mathematical-function help. Those sources were checked on 2026-10-11. They establish comparable documented mathematics, not proof of identical parsing, precision, platform support or worksheet import behavior.
Related functions and checked sources
- KDE handbook: DEGREES syntax, input and sample, accessed 2026-10-11; older handbook revision must not be misrepresented as a complete 26.08.2 inventory.
- Recorded Calligra 26.08.2 trig-module source registration, linked from the repository’s release-scoped official catalogue; revision
72123cc643f6625351139e7df294544255a1056f. This source location was taken from the already verified source inventory; no native execution was done. - KDE Gear 26.08.2 release announcement, 2026-10-08, checked 2026-10-11.
- KDE formula editing and semicolon conventions, checked 2026-10-11.
- KDE formula errors and recalculation, checked 2026-10-11.
- Microsoft Excel DEGREES reference and LibreOffice Calc function reference, checked 2026-10-11.
Official reference and verification
- Calligra Sheets — function documentation
- KDE formula editor instructions
- Simple Sums troubleshooting guide
- LibreOffice Calc mathematical-function help
- Recorded Calligra 26.08.2 trig-module source registration
- KDE Gear 26.08.2 release announcement
Verification status: Official documentation checked; example outcomes were independently reasoned or arithmetically checked where applicable. Not executed in Calligra Sheets.
- No genuine Calligra Sheets screenshots are included; this guide does not use mock application images.