be familiar with vs understand

be familiar with

understand

verb
  • To believe, to think one grasps sufficiently despite potentially incomplete knowledge. 

  • To stand underneath, to support. 

  • To grasp a concept fully in one's mind, especially (of words, statements, art, etc.) to be aware of the meaning of and (of people) to be aware of the intent of. 

How often have the words be familiar with and understand occurred in a corpus of books? (source: Google Ngram Viewer )