wedding ring vs wedding band

wedding ring and wedding band both are nouns.

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

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

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

wedding ring (noun)	wedding band (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