Difference between Interested and Engaged

INTERESTED vs ENGAGED: ADJECTIVE

Owning a share of a company.
Motivated by considerations of self-interest; self-serving.
Having or showing interest.
Having an interest; concerned in a cause or in consequences; liable to be affected or prejudiced.
Having the attention engaged; having emotion or passion excited.
Possessing a right, claim, or stake.
Having or showing curiosity, fascination, or concern.
Involved in or affected by or having a claim to or share in
Having or showing interest; especially curiosity or fascination or concern

Reserved in advance
(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)
(used of toothed parts or gears) interlocked and interacting
Having services contracted for
Built against or attached to a wall
Having ones attention or mind or energy engaged
Pledged to be married
Involved in military hostilities
In contact and in operation
Attached to a wall or sunk into it halfway
(of a telephone) Already involved in a telephone call when a third party calls it
Busy or employed.
Agreed to be married.
Same as Attached column. See under Attach, v. t.
Involved; esp., involved in a hostile encounter.
Employed, occupied, or busy.
Pledged; promised; especially, having the affections pledged; promised in marriage; affianced; betrothed.
Occupied; employed; busy.
Partly embedded in, built into, or attached to another part, as columns on a wall.
Being in gear; meshed.
Involved in conflict or battle.
Pledged to marry; betrothed.
Committed, as to a cause.
Greatly interested; of awakened zeal; earnest.

Concerned in a cause or in consequences; hence, biased by personal considerations; concerned chiefly for one's private advantage; also, springing from or influenced by self-interest or selfishness: as, an interested witness.
Having an interest or share; having money involved: as, one interested in the funds.

Affianced; betrothed: as, an engaged pair.
Busy or occupied with matters which cannot be interrupted; not at leisure: as, when I call I always find him engaged.
In architecture, partly built or sunk into, or having the appearance of being partly built or sunk into, something else: as, engaged columns.

Wishing, Relevant, Attractive, Focused, Desiring, Committed, Engaged, Enthusiastic, Keen, Desirous, Receptive, Fascinated, Curious, Concerned, Involved

Attached, Reserved, Pledged, Meshed, Booked, Intermeshed, Occupied, Busy, Affianced, Connected, Betrothed, Geared, Employed, Committed, Involved

Willing, Wishing, Relevant, Attractive, Focused, Committed, Engaged, Enthusiastic, Keen, Desirous, Receptive, Fascinated, Curious, Concerned, Involved

Attached, Reserved, Pledged, Meshed, Booked, Intermeshed, Occupied, Busy, Affianced, Connected, Betrothed, Geared, Employed, Committed, Involved

ANAKIN: You seem quite interested in public service.
Would international schools be interested in my background?
Those who are interested may contact Datta temple.
Weltz personally is not interested in these experiments.
You might be interested in shortening your term.
President Trump was only interested in Ukraine aid.
What type of immigration are you interested in?
While they both are interested in telling us who created everything, neither are interested in telling us how he did it.
It will leave a bad impression and only make the interviewer more interested in your salary history and possibly less interested in you.
Transco states that copies of the filing are being mailed to each of its affected customers, interested State Commissions and other interested parties.

Not all Allied governments engaged in maximal expropriation.
Some pupils were readily engaged with the postprocess.
When people feel valued and engaged, everyone wins.
Church, Hackney, which he was engaged in rebuilding.
Minal Khan, Ahsan Mohsin Ikram are now engaged!
Requiring a deposit also gets your client engaged.
SHRM indicates that employees are only moderately engaged.
Sonny Kassab engaged in the same deceptive business practices at LA XVII that she engaged in at the Agencies.
Additionally, children who were more engaged in the program showed increases in reading scores, while those less engaged did not show improvements.
To have a diverse, engaged and committed membership, and an engaged and representative audience.