arts vs interior design

arts and interior design both are nouns.

Word	Noun	Adjective	Verb	Adverb
arts	Yes	No	No	No
interior design	Yes	No	No	No

As nouns, interior design is a hyponym of arts; that is, interior design is a word with a more specific, narrower meaning than arts:

arts: studies intended to provide general knowledge and intellectual skills (rather than occupational or professional skills)
interior design: the art of designing the interior decoration for a house, office, or other architectural space

arts (noun)	interior design (noun)
studies intended to provide general knowledge and intellectual skills (rather than occupational or professional skills)	the art of designing the interior decoration for a house, office, or other architectural space