arena vs province

arena and province both are nouns.

Word	Noun	Adjective	Verb	Adverb
arena	Yes	No	No	No
province	Yes	No	No	No

As nouns, province is a hyponym of arena; that is, province is a word with a more specific, narrower meaning than arena:

arena (noun)	province (noun)
a playing field where sports events take place	the territory occupied by one of the constituent administrative districts of a nation
a large structure for open-air sports or entertainments	the proper sphere or extent of your activities
the central area of an ancient Roman amphitheater where contests and spectacles were held; especially an area that was strewn with sand
a particular environment or walk of life