ringing vs engagement

ringing and engagement both are nouns.

Word	Noun	Adjective	Verb	Adverb
ringing	Yes	No	No	No
engagement	Yes	No	No	No

As nouns, engagement is a hypernym of ringing; that is, engagement is a word with a broader meaning than ringing:

Other hypernyms of ringing include betrothal, troth.

ringing (noun)	engagement (noun)
having the character of a loud deep sound; the quality of being resonant	the act of sharing in the activities of a group
the giving of a ring as a token of engagement	a hostile meeting of opposing military forces in the course of a war
the sound of a bell ringing	the act of giving someone a job
	employment for performers or performing groups that lasts for a limited period of time
	a mutual promise to marry
	contact by fitting together
	a meeting arranged in advance