Radeviča won the bronze medal in the 2003 European U-23 championship. She has also won two NCAA championships, while competing for the University of Nebraska. In the 2004 Summer Olympics, she was 13th in the triple jump and 20th in the long jump. She finished fifth at the 2006 IAAF World Indoor Championships and eighth at the 2007 European Athletics Indoor Championships.
Radeviča became popular after posing nude for Playboy magazine before the 2004 Summer Olympics.
She is married to Russian ice hockey player Petr Schastliviy and is coached by Igor Ter-Ovanesyan.
Her personal best in long jump is 6.80 metres, achieved in June 2005 in Tallinn in a headwind of 1.8. In triple jump she has 14.12 metres from the 2004 Olympics.
By the time 2008 Summer Olympics where held, she was pregnant and missed the competition.