Born in Nymburk, at the age of six enrolled at the Rozmarýn dance school in Hradec Králové, where she was taught by Vladěna Hrbková. When she was twelve years old, she began attending the Prague Dance Conservatory, where she studied with Jaroslav Slavický, Kateřina Slavická, Olga Šulcová, Alena Drapalíková, Jurij Slipič, Zdena Nemcová, Ljubov Dančenko and other distinguished pedagogues. While still a student, she danced the Lilac Fairy in The Sleeping Beauty choreographed by Jaroslav Slavický and garnered success in several ballet competitions (for instance, Brno 2006, Prix Carpeux Valenciennes, France, where she won 1st prize in the Professional category). In 2009, she graduated from the dance conservatory by portraying the role of Laurencia in the eponymous ballet.
In the 2009/2010 season, she joined the Czech National Ballet in Prague and two years later was named a demi-soloist. She has performed Medora in Le Corsaire within the mixed bill Ballet Mania, in the Solo Waltz in The Nutcracker – A Christmas Carol (choreography: Youri Vàmos), in the Spanish Dance in Swan Lake and as Syrene – the Fairy of Love in The Sleeping Beauty (choreography: Javier Torres). She has also appeared in Giselle, Petr Zuska’s Symphony No. 1 in D major, Jean-Christophe Maillot’s Cinderella, Jan Kodet’s Goldilocks and Zuzana Šimáková’s I’m Waiting (premium for an outstanding individual performance at the 2010 Plzeň International Choreography Competition).
Radka and her partner (since summer 2019 husband) Adam Zvonař advanced to the semi-final of a ballet competition in Istanbul and received the Grand Prix Olomouc 2010. With the Czech National Ballet, she has performed in Bonn, Madrid and Terrassa, Spain, where she dazzled in Pas de deux Satanella.