The Collaborative International Dictionary of English v.0.48:

Rink \Rink\, n. [Scot. renk, rink, rynk, a course, a race;
   probably fr. AS. hring a ring. See Ring.]
   1. The smooth and level extent of ice marked off for the game
      of curling.
      [1913 Webster]

   2. An artificial sheet of ice, generally under cover, used
      for skating; also, a floor prepared for skating on with
      roller skates, or a building with such a floor.
      [1913 Webster]

WordNet (r) 3.0 (2006):

rink
    n 1: building that contains a surface for ice skating or roller
         skating [syn: rink, skating rink]

Moby Thesaurus II by Grady Ward, 1.0:

44 Moby Thesaurus words for "rink":
   archery ground, athletic field, badminton court, baseball field,
   basketball court, billiard parlor, bowling alley, bowling green,
   course, court, cricket ground, croquet ground, croquet lawn,
   diamond, fairway, field, football field, glaciarium, golf course,
   golf links, gridiron, gym, gymnasium, ice rink, infield, links,
   outfield, oval, playground, playing field, playroom, polo ground,
   pool hall, poolroom, putting green, racecourse, racket court,
   skating rink, soccer field, squash court, stretch, tennis court,
   track, turf