area vs political arena

area and political arena both are nouns.

Word	Noun	Adjective	Verb	Adverb
area	Yes	No	No	No
political arena	Yes	No	No	No

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

Other hyponyms of area include distaff, front, kingdom, land, realm, lap, political sphere, preserve, province, responsibility.

area (noun)	political arena (noun)
a part of a structure having some specific characteristic or function	a sphere of intense political activity
the extent of a 2-dimensional surface enclosed within a boundary
a part of an animal that has a special function or is supplied by a given artery or nerve
a subject of study
a particular geographical region of indefinite boundary (usually serving some special purpose or distinguished by its people or culture or geography)
a particular environment or walk of life