faith vs belief

faith and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
faith	Yes	No	No	No
belief	Yes	No	No	No

As nouns, belief is a hypernym of faith; that is, belief is a word with a broader meaning than faith:

faith: a strong belief in a supernatural power or powers that control human destiny
belief: any cognitive content held as true

Other hypernyms of faith include supernatural virtue, theological virtue.

As nouns, belief is a hypernym of faith; that is, belief is a word with a broader meaning than faith:

faith (noun)	belief (noun)
loyalty or allegiance to a cause or a person	any cognitive content held as true
a strong belief in a supernatural power or powers that control human destiny	a vague idea in which some confidence is placed
complete confidence in a person or plan etc
an institution to express belief in a divine power