wedding band vs wedding ring

wedding band and wedding ring both are nouns.

Word	Noun	Adjective	Verb	Adverb
wedding band	Yes	No	No	No
wedding ring	Yes	No	No	No

As nouns, wedding band and wedding ring are synonyms defined as:

wedding band and wedding ring: a ring (usually plain gold) given to the bride (and sometimes one is also given to the groom) at the wedding

wedding band (noun)	wedding ring (noun)
a ring (usually plain gold) given to the bride (and sometimes one is also given to the groom) at the wedding	a ring (usually plain gold) given to the bride (and sometimes one is also given to the groom) at the wedding