Wigan was relegated from the Premier League after its 4-1 defeat to Arsenal at the Emirates Stadium on Tuesday evening.
The Latics are now the only team to ever drop down a division and win the FA Cup in the same season.
Lukas Podolski led the way for the Gunners with a brace while Theo Walcott and Aaron Ramsey also scored as Arsenal leapfrogged Tottenham into fourth place.
Podolski wasted no time in opening the scoring as he was left completely unmarked by the Wigan defence and had all day to place his header past Joel in the 11th minute.
It was exactly the start the home side was looking for as they looked to move closer to sealing a Champions League spot at the expense of Spurs.
Arsenal then had an excellent chance to double its advantage, but Laurent Koscielny was unable to hit the target from close range after the ball bounced freely in the penalty area.
The Gunners would be left to rue that miss as the visitors equalised on the cusp on halftime. Shaun Maloney stood over the ball and unleashed a curling free kick that left Wojciech Szczesny with no chance.
Arsenal was fortunate not to go down a goal after the restart as Szczesny was forced to make a big stop on Arouna Kone.
Joel was then called into action twice in the next 1o minutes to keep out efforts from Podolski and Walcott.
However, the Gunners found the goal they were desperately looking for when Santi Cazorla set up Walcott for a simple tap in.
The hosts made it 3-1 in the 69th minute when Podolski beat the offside trap before slotting the ball past Joel.
Arsenal was free and clear at this point and added another goal only moments later when Ramsey beat Joel to add a little gloss to the scoreline.
Wigan are officially relegated following the 4-1 setback while the Gunners hold their Champions League destiny in their own hands as they lock horns with Newcastle on the final day of the season.