circling vs encircling

circling

noun
  • A circular motion. 

  • The practice of sitting in a circle and taking turns to speak about one's emotions or experiences while the others listen, intended to be therapeutic or to strengthen relations within the group. 

encircling

noun
  • encirclement 

adj
  • enclosing, skirting 

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