@BillRM,
There are others physical constant which related to pi, eg.
mu_0, 4π ?- 10??'7 N·A??'2 = 1.256 637 061... ?- 10??'6 N·A??'2
or epsilon_0 = 1/(\mu_0 c^2) \, 8.854 187 817... ?- 10??'12 F·m??'1 which related mu_0 via pi
, and the most important is Dirac's constant, h/2pi.
Regards