Radice studied ballet at the La Scala Theatre Ballet School under Enrico Cecchetti until he died in 1928, whereafter she continued under Lucia Fornaroli graduating in 1932. She joined the La Scala company the same year, making her début in Léonide Massine's Belkis. She danced in the ballets of the 1930s including Franco Vittadini's Vecchia Milano and Riccardo Pick-Mangiagalli's Il carillon magico. Thanks to her elegant, expressive style, she soon became the Scala's prima ballerina. From 1935 to 1957, she danced in the Rome Opera Ballet as prima ballerina assoluta with principal dancer Guido Lauri as her partner. Radice created roles in works choreographed by Aurel Milloss including Bolero and The Miraculous Mandarin. After retiring from the company in 1957, she became director of the ballet school until 1975, where she was effective in adopting Cecchetti's approach.
Radice is remembered for her roles in the following ballets choreographed by Aurel Milloss: