formal vs rhetorical

formal is a noun but rhetorical is not a noun.

Word	Noun	Adjective	Verb	Adverb
formal	Yes	Yes	No	No
rhetorical	No	Yes	No	No

formal (noun)	rhetorical (noun)
a gown for evening wear
a lavish dance requiring formal attire

formal (adjective)	rhetorical (adjective)
being in accord with established forms and conventions and requirements (as e.g. of formal dress)	given to rhetoric, emphasizing style at the expense of thought
(of spoken and written language) adhering to traditional standards of correctness and without casual, contracted, and colloquial forms	of or relating to rhetoric
refined or imposing in manner or appearance; befitting a royal court
logically deductive
represented in simplified or symbolic form
characteristic of or befitting a person in authority