FK> I have some follow up questions to this:
FK> 1) is the "ar" prefix in arahat any relation to the
FK> "ar" in ariya?

No.

FK> 2) is the "samma" prefix in sammasambuddhassa the same
FK> as the 8 "samma"s in the 8fold noble limbs?

Yes.

FK> 3) is the "bha" in bhagavato any relation to bhavana
FK> (usually translated as cultivated/developed)?

No.

Dimitry