Radomír Pivoda was born in 1954 in Brno. Since childhood he played piano and later flute. He studied flute at the Brno Conservatory under his father, Radomír Pivoda Sr., and conducting under Jaroslav Brož. For one year he attended the Academy of Performing Arts in Bratislava, where he studied under Milan Jurkovič. In 1982 he got his Master’s degree from the Academy of Performing Arts in Prague under František Čech, and in 1985 he completed his post-gradual studies there.
In the years 1974–1979 he was a member of the orchestra of the Janáček Opera in Brno; in the years 1976–1978 he served in the Vít Nejedlý Army Artistic Ensemble (AUS). Since 1979 he has been a member of the Czech Philharmonic Orchestra, at first as piccolo and after 1985 as the first flute. Since 1996 he has been the leader of the flute group.
He is also active as a teacher: since 1995 he has been associate professor of flute at the Academy of Performing Arts in Prague; in 2007 he led master classes in Muramatsu in Tokyo.
He regularly performs at home and abroad, collaborates with prominent international conductors and soloists, participates in recordings by the Czech Philharmonic Orchestra for various recording companies, plays in several chamber ensembles and orchestras and occasionally appears as soloist.