engage vs contract

engage is not a noun while contract is a noun.

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

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

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

engage (noun)	contract (noun)
	a variety of bridge in which the bidder receives points toward game only for the number of tricks he bid
	a binding agreement between two or more persons that is enforceable by law
	(contract bridge) the highest bid becomes the contract setting the number of tricks that the bidder must make

engage (verb)	contract (verb)
get caught	be stricken by an illness, fall victim to an illness
consume all of one's attention or time	make or become more narrow or restricted
give to in marriage	become smaller or draw together
keep engaged	reduce in scope while retaining essential elements
engage for service under a term of contract	compress or concentrate
hire for work or assistance	enter into a contractual arrangement
ask to represent; of legal counsel	make smaller
engage or hire for work	squeeze or press together
carry out or participate in an activity; be involved in	engage by written agreement
carry on (wars, battles, or campaigns)