engagement vs work

engagement and work both are nouns.

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

As nouns, work is a hypernym of engagement; that is, work is a word with a broader meaning than engagement:

engagement: employment for performers or performing groups that lasts for a limited period of time
work: the occupation for which you are paid

Other hypernyms of engagement include employment.

engagement (noun)	work (noun)
the act of sharing in the activities of a group	activity directed toward making or doing something
a hostile meeting of opposing military forces in the course of a war	the occupation for which you are paid
the act of giving someone a job	a product produced or accomplished through the effort or activity or agency of a person or thing
employment for performers or performing groups that lasts for a limited period of time	a place where work is done
a mutual promise to marry	the total output of a writer or artist (or a substantial part of it)
contact by fitting together	applying the mind to learning and understanding a subject (especially by reading)
a meeting arranged in advance	(physics) a manifestation of energy; the transfer of energy from one physical system to another expressed as the product of a force and the distance through which it moves a body in the direction of that force

engagement (verb)	work (verb)
	give a workout to
	arrive at a certain condition through repeated motion
	go sour or spoil
	cause to undergo fermentation
	find the solution to (a problem or question) or understand the meaning of
	use or manipulate to one's advantage
	to mix into a homogeneous mass
	perform as expected when applied
	move into or onto
	shape, form, or improve a material
	cause to happen or to occur as a consequence
	prepare for crops
	make something, usually for a specific function
	gratify and charm, usually in order to influence
	proceed along a path
	move in an agitated manner
	provoke or excite
	be employed
	cause to work
	exert oneself by doing mental or physical work for a purpose or out of necessity; work
	have an effect or outcome; often the one desired or expected
	operate in a certain place, area, or specialty
	proceed towards a goal or along a path or through an activity
	have and exert influence or effect
	operate in or through
	cause to operate or function
	behave in a certain way when handled