nuisance vs pain

nuisance and pain both are nouns.

Word	Noun	Adjective	Verb	Adverb
nuisance	Yes	No	No	No
pain	Yes	No	Yes	No

As nouns, pain is a hypernym of nuisance; that is, pain is a word with a broader meaning than nuisance:

nuisance: (law) a broad legal concept including anything that disturbs the reasonable use of your property or endangers life and health or is offensive
pain: something or someone that causes trouble; a source of unhappiness

Other hypernyms of nuisance include annoyance, bother, botheration, infliction, nuisance, pain in the ass, pain in the neck.

As nouns, nuisance and pain are synonyms defined as:

nuisance and pain: something or someone that causes trouble; a source of unhappiness

Other synonyms of nuisance include annoyance, bother, botheration, infliction, pain in the ass, pain in the neck.

nuisance (noun)	pain (noun)
(law) a broad legal concept including anything that disturbs the reasonable use of your property or endangers life and health or is offensive	a somatic sensation of acute discomfort
something or someone that causes trouble; a source of unhappiness	something or someone that causes trouble; a source of unhappiness
	emotional distress; a fundamental feeling that people try to avoid
	a symptom of some physical hurt or disorder

nuisance (verb)	pain (verb)
	cause bodily suffering to and make sick or indisposed
	cause emotional anguish or make miserable