The engagement, which was first reported by The Tennessean, was confirmed by the band's publicist on Tuesday. Perry told the newspaper that she said "yes" to her boyfriend of more than a year on Monday night at her parent's house in Greeneville, Tenn.
Perry and her two younger brothers, Neil and Reid, are kicking off their world tour next month in Sweden. They signed with Universal Republic in 2009 and had a quadruple platinum hit with "If I Die Young." Their latest album is "Pioneer."
Arencibia went to school at the University of Tennessee and was a first-round pick in the 2007 draft by Toronto. He has spent parts of four seasons with the Blue Jays.
The 27-year-old Miami native struggled this past season. He batted just .194 and had 21 homers and 55 RBIs.