Definitions of rim:

• noun:   the outer part of a wheel to which the tire is attached
• noun:   (basketball) the hoop from which the net is suspended

  Example: "The ball hit the rim and bounced off"

• noun:   the shape of a raised edge of a more or less circular object
• noun:   the top edge of a vessel
• noun:   a projection used for strength or for attaching to another object
• verb:   furnish with a rim

  Example: "Rim a hat"

• verb:   run around the rim of

  Example: "Sugar rimmed the dessert plate"

• verb:   roll around the rim of

  Example: "The ball rimmed the basket"

• name:  A surname (very rare: popularity rank in the U.S.: #39436)