Antonio Conte's Premier League leaders Chelsea face London rivals Spurs at Wembley Stadium in the first of the semi-final fixtures, with the match being screened live on BBC One at 5:30pm.
Arsene Wenger's Gunners will then battle it out with Pep Guardiola's City a day later for a place in the final, with both coaches needing to progress in order to save their seasons.
Sunday's match will kick off at 3pm and be shown live on BT Sport, and Standard Sport will have live coverage of both semi-finals as they happen on our London football live blogs.
Saturday, April 22
Chelsea vs Spurs
Sunday, April 23
Arsenal vs Man City
The FA has confirmed that each of the four clubs will be allocated approximately 32,000 tickets for their own fans.
Meanwhile, ticket prices have been frozen at 2014 prices: £30, £40, £50 and £60 for adults. Tickets have yet to go on sale, but dates are expected to be announced by clubs in the coming days.
Chelsea supporters will be seated at the west end of Wembley, with Spurs fans in the east end - a decision decided by a coin toss.
Arsenal fans have been allocated the east end with Man City fans the west end in accordance with access to public transport and onward travel in mind.
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