Dr. Pepper-
Fantastic!
You got the solution, and even described how to locate the exact center of the table, rather than just saying “put the first quarter in the middle”.
I didn’t get the answer to the puzzle, but the “chap” was so clever that I stored it in the vault.
As far as I can tell, this will work for any diameter table, except one so small that a second quarter can’t fit. If this is wrong, I’m interested in how/why.
(As an aside, I think one of New York’s professional sports teams is regularly enjoying celebrations which involve the use of your favorite constant – kain yirbu.)