fear vs panic

fear and panic both are nouns.

Word	Noun	Adjective	Verb	Adverb
fear	Yes	No	Yes	No
panic	Yes	No	Yes	No

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

fear: an emotion experienced in anticipation of some specific pain or danger (usually accompanied by a desire to flee or fight)
panic: an overwhelming feeling of fear and anxiety

As verbs, panic is a hyponym of fear; that is, panic is a word with a more specific, narrower meaning than fear:

fear (noun)	panic (noun)
an emotion experienced in anticipation of some specific pain or danger (usually accompanied by a desire to flee or fight)	an overwhelming feeling of fear and anxiety
an anxious feeling	sudden mass fear and anxiety over anticipated events
a feeling of profound respect for someone or something

fear (verb)	panic (verb)
be afraid or scared of; be frightened of	be overcome by a sudden fear
regard with feelings of respect and reverence; consider hallowed or exalted or be in awe of	cause sudden fear in or fill with sudden panic
be sorry; used to introduce an unpleasant statement
be afraid or feel anxious or apprehensive about a possible or probable situation or event
be uneasy or apprehensive about