Faltskog, lead singer alongside Anni-Frid Lyngstad of the hugely successful Swedish pop band which formed in 1972, released her last solo album a decade ago.
“World Premiere of ‘Where Do We Go From Here? on @bbcradio2 with @zoetheball – tune in on Thursday 31st August from 8:30am (BST),” she said on the social media platform.
ABBA won legions of fans around the world with enduring hits such as “Dancing Queen” and “Fernando” and triumphed at the 1974 Eurovision Song Contest with their performance of “Waterloo”.
Agnetha returned to music two years ago for the reunion of 1970s supergroup. Their No1 album Voyage, the ninth for the group, sold more than 2.5 million and was up for five Grammy’s.
ABBA informally split up in 1983, following the release of their retrospective greatest hits album The Singles: The First Ten Years in late 1982.
Renewed interest in the band grew from the 1990s onwards following the worldwide success of their greatest hits album ABBA Gold, the ABBA-based musical Mamma Mia! and the subsequent film of the same name, followed by its 2018 sequel, Mamma Mia! Here We Go Again, and the use of their songs in some other film soundtracks such as The Adventures of Priscilla, Queen of the Desert and Muriel’s Wedding.