The FA Cup semi-final between Chelsea and Manchester City at Wembley will be broadcast live on BBC One and the BBC iPlayer on Saturday, 17 April.
City beat Everton 2-0 to reach the last four as they continue to aim for a quadruple of Premier League, FA Cup, Champions League and League Cup.
Leicester will face Southampton in the other semi-final on Sunday, 18 April.
Southampton cruised into the last four for the second time in four seasons with a 3-0 win over Championship side Bournemouth.
Leicester beat Manchester United 3-1 to reach the semi-finals for the fifth time in their history, having never won the competition.