hire vs engage

hire is a noun but engage is not a noun.

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

As verbs, hire and engage are synonyms defined as:

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

As verbs, hire and engage are synonyms defined as:

Other synonyms of hire include employ.

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

Other hyponyms of hire include featherbed, fill, ship, contract, sign, sign on, sign up, rat, farm out, job, subcontract.

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

hire (verb)	engage (verb)
engage for service under a term of contract	get caught
engage or hire for work	consume all of one's attention or time
hold under a lease or rental agreement; of goods and services	give to in marriage
	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)