arena vs circus ring

arena

noun
  • The sand-covered centre of an amphitheatre where contests were held in Ancient Rome. 

  • An enclosed area, often outdoor, for the presentation of sporting events (sports arena) or other spectacular events; earthen area, often oval, specifically for rodeos (North America) or circular area for bullfights (especially Hispanic America). 

  • The building housing such an area; specifically, a very large, often round building, often topped with a dome, designated for indoor sporting or other major events, such as concerts. 

  • A realm in which events take place; an area of interest, study, behaviour, etc. 

circus ring

noun
  • A circular arena in a circus, where the acts are performed. 

How often have the words arena and circus ring occurred in a corpus of books? (source: Google Ngram Viewer )