feeling vs belief

feeling and belief both are nouns.

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

As nouns, feeling and belief are synonyms defined as:

Other synonyms of feeling include impression, notion, opinion.

feeling (noun)	belief (noun)
the experiencing of affective and emotional states	any cognitive content held as true
an intuitive understanding of something	a vague idea in which some confidence is placed
a physical sensation that you experience
the sensation produced by pressure receptors in the skin
a vague idea in which some confidence is placed
the general atmosphere of a place or situation and the effect that it has on people