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This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.


If a word conforms to a special rule, I call it a CirKle Word™.
Use the following examples below to find the rule.

$$ % set Title text. (spaces around the text ARE important; do not remove.) % increase Pad value only if your entries are longer than the title bar. % \def\Pad{\P{0.0}} \def\Title{\textbf{ CirKle }} % \def\S#1#2{\Space{#1}{20px}{#2px}}\def\P#1{\V{#1em}}\def\V#1{\S{#1}{9}} \def\T{\Title\textbf{Words}^{\;\!™}\Pad}\def\NT{\Pad\textbf{Not}\T\ }\displaystyle \smash{\lower{29px}\bbox[yellow]{\phantom{\rlap{rubio.2019.05.15}\S{6px}{0} \begin{array}{cc}\Pad\T&\NT\\\end{array}}}}\atop\def\V#1{\S{#1}{5}} \begin{array}{|c|c|}\hline\Pad\T&\NT\\\hline % \text{ WED }&\text{ FRI }\\ \hline \text{ LAB }&\text{ OFFICE }\\ \hline \text{ HOT }&\text{ COLD }\\ \hline \text{ MIDI }&\text{ USB }\\ \hline \text{ CAR }&\text{ BIKE }\\ \hline \text{ RED }&\text{ BLUE }\\ \hline \text{ ARE }&\text{ WERE }\\ \hline \text{ EARED }&\text{ EARING }\\ \hline \text{ BAD }&\text{ GOOD }\\ \hline \text{ BIG }&\text{ SMALL }\\ \hline \end{array}$$

And, if you want to analyze, here is a CSV version:

CirKle Words™,Not CirKle Words™
WED,FRI
LAB,OFFICE 
HOT,COLD 
MIDI,USB 
CAR,BIKE 
RED,BLUE 
ARE,WERE 
EARED,EARING 
BAD,GOOD 
BIG,SMALL 
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  • 2
    $\begingroup$ why are all the words so short?? $\endgroup$ – Omega Krypton Aug 23 at 10:16
  • 1
    $\begingroup$ Why would you put commas before the spaces rather than after, in the CSV? $\endgroup$ – David Conrad Aug 23 at 19:08
  • $\begingroup$ @DavidConrad I just copy & paste from the table :P $\endgroup$ – Conifers Aug 24 at 2:07
  • $\begingroup$ @OmegaKrypton Check the answer you'll find why :P $\endgroup$ – Conifers Aug 24 at 3:24
27
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It seems like all CirKle words

When written as numbers (A=1, B=2, etc.) appear in the first 1000 digits of $\pi$.

Example

$WED \rightarrow (23,5,4) \rightarrow 2354$ and the digits $2354$ appear in that order in the first 1000 digits of

$\pi = $3.14159265358979323846264338327950288419716939937510
        58209749445923078164062862089986280348253421170679
        82148086513282306647093844609550582231725359408128
        48111745028410270193852110555964462294895493038196
        44288109756659334461284756482337867831652712019091
        45648566923460348610454326648213393607260249141273
        72458700660631558817488152092096282925409171536436
        78925903600113305305488204665213841469519415116094
        33057270365759591953092186117381932611793105118548
        07446237996274956735188575272489122793818301194912
        98336733624406566430860213949463952247371907021798
        60943702770539217176293176752384674818467669405132
        00056812714526356082778577134275778960917363717872
        14684409012249534301465495853710507922796892589235
        4
2019956112129021960864034418159813629774771309960
        51870721134999999837297804995105973173281609631859
        50244594553469083026425223082533446850352619311881
        71010003137838752886587533208381420617177669147303
        59825349042875546873115956286388235378759375195778
        18577805321712268066130019278766111959092164201989

Meaning of the name

$\pi$ is the constant associated with the circle (ratio of circumference to diameter) and $K$ is synonymous with $1000$.

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