formal vs formality

formal and formality both are nouns.

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

formal (noun)	formality (noun)
a gown for evening wear	compliance with formal rules
a lavish dance requiring formal attire	a manner that strictly observes all forms and ceremonies
	a requirement of etiquette or custom

formal (adjective)	formality (adjective)
being in accord with established forms and conventions and requirements (as e.g. of formal dress)
(of spoken and written language) adhering to traditional standards of correctness and without casual, contracted, and colloquial forms
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