engage vs hire

engage is not a noun while hire is a noun.

Word	Noun	Adjective	Verb	Adverb
engage	No	No	Yes	No
hire	Yes	No	Yes	No

As verbs, engage and hire are synonyms defined as:

Other synonyms of engage include charter, lease, rent, take.

As verbs, hire is a hypernym of engage; that is, hire is a word with a broader meaning than engage:

Other hypernyms of engage include employ, engage.

As verbs, engage and hire are synonyms defined as:

Other synonyms of engage include employ.

engage (noun)	hire (noun)
	the act of hiring something or someone
	a newly hired employee

engage (verb)	hire (verb)
get caught	engage for service under a term of contract
consume all of one's attention or time	engage or hire for work
give to in marriage	hold under a lease or rental agreement; of goods and services
keep engaged
engage for service under a term of contract
hire for work or assistance
ask to represent; of legal counsel
engage or hire for work
carry out or participate in an activity; be involved in
carry on (wars, battles, or campaigns)