The rate for the final state radiation of hadrons in leptonic Z decays
is evaluated, using as input experimental data for sigma(e+e- --> had
rons) in the low energy region. Configurations with a lepton pair of l
arge and a hadronic state of low invariant mass are dominant. A relati
ve rate GAMMA(llhadBAR) = 6.3 x 10(-4) is calculated. This result is a
bout twice the prediction based on a parton model calculation with a q
uark mass of 300 MeV. The rate for secondary production of heavy quark
s is calculated in the same formalism.