# What is a CirKle Word™?

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.

CirKle Words™ Not CirKle Words™
WED FRI
LAB OFFICE
HOT COLD
MIDI USB
CAR BIKE
RED BLUE
ARE WERE
EARED EARING
BIG SMALL

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
BIG,SMALL

• why are all the words so short?? Aug 23 '19 at 10:16
• @OmegaKrypton Check the answer you'll find why :P Aug 24 '19 at 3:24

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 $$1000$$.

• Uh, how did you find this out? Dec 17 '21 at 5:21
• @justhalf I developed on a hunch after seeing the answer to this question Dec 17 '21 at 9:01
• Ah, and there are more hints there. Makes sense. Dec 17 '21 at 13:26