The prolific Argentinian joined Alan Shearer on 11 Premier League trebles as the champions returned to their ruthless best in a one-sided encounter at the Etihad Stadium.
And this was their worst loss in any competition since 1991 after failing to recover from Sterling's fourth-minute opener.
"We are conceding a lot of goals and we can not accept that". At the moment I don't know, maybe the goal we conceded after three minutes against this opponent was really very hard to play, not to give them spaces, so we were in trouble.
Though Maurizio Sarri has brought some fluidity back to the Blues' play, his all-out attack approach has yielded difficulties at the back because of being too open. "We made a lot of mistakes against the wrong opponents, we have to say that they played fantastic football".
"If you look at the size of Liverpool and the fact they haven't won the title in so long, there is an air of desperation at the club to win the title".
Aguero should even have had more, having missed a sitter in the early stages and headed against bar on a dismal afternoon for Chelsea, whose manager Maurizio Sarri headed straight down the tunnel at full-time. "People expect with a new manager and buying players it comes immediately, but it needs time". "I don't know why". "He doesn't believe I am good because I win and bad because I lose".
Leicester have lost four of their last five league games, increasing the pressure on under-fire boss Claude Puel.
"Bear in mind that Kante is only 5' 6" tall, yet Alonso opted for the Frenchman in the box over Chelsea's best player, who had acres of space. "Normally people fall down after what we have done last season but we are still there".
Guardiola fell to the floor in exasperation when Aguero somehow side-footed wide with his easiest chance of the game at 1-0.
Aguero had a simple task to make it 3-0 six minutes later when he pounced on Ross Barkley's slack header towards his own goal.
Aguero completed his hat-trick from the penalty spot to move level with Liverpool's Mohamed Salah as the Premier League's top scorer on 17 for the season.
Sterling wrapped up a brilliant afternoon's work after substitute David Silva opened up the Chelsea defence yet again and Zinchenko picked out the England worldwide.