Aguero took his tally of goals since the turn of the year in all competitions to 10 with a treble in Sunday's thrashing of the Blues at the Etihad Stadium.
Aguero missed an open goal before making amends in spectacular style with a 25-yard strike. His second was a controlled volley from close range after a Ross Barkley error, while he claimed the match ball - which he jokingly had to wrestle off referee Mike Dean after the final whistle - with a second-half penalty.
"I don't know, sometimes it happens," Aguero told Sky Sports of his close-range miss.
"The next one I scored. The important thing is to get the ball and for the team to win.
"I have to continue the same way, but it's important to win."
Sterling scored City's first and last goals as Pep Guardiola's men inflicted Chelsea's record defeat in the Premier League.
"It was a terrific performance from the team - the manager set us up and got us ready for the game," Sterling told Sky Sports.
"Sergio is a player we depend on. You saw with his first strike, putting the ball in the top corner - you have to cherish players like that.
"It was just a win and another three points. The most important thing is to get three points."