walk about vs walk around

walk about and walk around both are verbs.

Word	Noun	Adjective	Verb	Adverb
walk about	No	No	Yes	No
walk around	No	No	Yes	No

As verbs, walk about and walk around are synonyms defined as:

Other synonyms of walk about include perambulate.

walk about (verb)	walk around (verb)
walk with no particular goal	walk with no particular goal
	walk around something
	behave in a certain manner or have certain properties
	walk randomly