Radiohead will play a free concert in central London on April Fools Day in support of their new single release, "Nude."

The April 1 gig for BBC Radio 2 will be held at the BBC Radio Theatre, Broadcasting House in central London. Tickets will be distributed on a random basis to U.K residents via the BBC's various platforms and Radiohead's Website, and by a hotline.

The previous day sees the U.K. release of "Nude" through XL Recordings. The track, lifted from the trans-Atlantic chart-topping album "In Rainbows," will be issued on 7" vinyl, CD, and as a digital download.

The 7" will carry a b-side "4 Minute Warning," while the CD version also features "Down Is The New Up." Both tracks were previously available only on the "In Rainbows" box set.

The British alternative rock group's European tour proper kicks off June 6 at the Malahide in Dublin. North American audiences can catch the band on two legs, the first starting May 5 at the Cruzan Amphitheatre, in West Palm Beach, Fla. The latter stretch begins Aug. 5 at the All Points West Festival in New York.