The wedding RING!
My car needs tires to go to the bookstore.
can mean ring, like rings of saturn, or loop, like cable which is stored in a loop, or circle, like folk-dances where everyone forms a circle. But 輪 is never an actual ring like you wear on your finger.
THIS is the ring you wear!
You transport meat to the BUTCHER, but I check out a ring from the LIBRARY.