meeting vs engagement

meeting and engagement both are nouns.

Word	Noun	Adjective	Verb	Adverb
meeting	Yes	No	No	No
engagement	Yes	No	No	No

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

meeting (noun)	engagement (noun)
the social act of assembling for some common purpose	the act of sharing in the activities of a group
the act of joining together as one	a hostile meeting of opposing military forces in the course of a war
a casual or unexpected convergence	the act of giving someone a job
a formally arranged gathering	employment for performers or performing groups that lasts for a limited period of time
a small informal social gathering	a mutual promise to marry
a place where things merge or flow together (especially rivers)	contact by fitting together
	a meeting arranged in advance