occupied vs engaged

occupied and engaged both are adjectives.

Word	Noun	Adjective	Verb	Adverb
occupied	No	Yes	No	No
engaged	No	Yes	No	No

As adjectives, occupied and engaged are synonyms defined as:

occupied (adjective)	engaged (adjective)
held or filled or in use	built against or attached to a wall
seized and controlled as by military invasion	having services contracted for
having ones attention or mind or energy engaged	(used of toothed parts or gears) interlocked and interacting
resided in; having tenants	involved in military hostilities
	(of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability; (`engaged' is a British term for a busy telephone line)
	reserved in advance
	having ones attention or mind or energy engaged
	pledged to be married