idea vs feeling

idea and feeling both are nouns.

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

As nouns, feeling is a hyponym of idea; that is, feeling is a word with a more specific, narrower meaning than idea:

idea (noun)	feeling (noun)
the content of cognition; the main thing you are thinking about	the experiencing of affective and emotional states
your intention; what you intend to do	an intuitive understanding of something
an approximate calculation of quantity or degree or worth	a physical sensation that you experience
a personal view	the sensation produced by pressure receptors in the skin
(music) melodic subject of a musical composition	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