cinema vs theatre

cinema and theatre both are nouns.

Word	Noun	Adjective	Verb	Adverb
cinema	Yes	No	No	No
theatre	Yes	No	No	No

As nouns, theatre is a hypernym of cinema; that is, theatre is a word with a broader meaning than cinema:

cinema: a theater where films are shown
theatre: a building where theatrical performances or motion-picture shows can be presented

Other hypernyms of cinema include house, theater.

cinema (noun)	theatre (noun)
a theater where films are shown	a building where theatrical performances or motion-picture shows can be presented
a medium that disseminates moving pictures	the art of writing and producing plays
	a region in which active military operations are in progress