  A Monte Carlo generator has been constructed to simulate the reaction e+ e-
--> gamma + 2 pions and gamma + 4 pions, where the photon is assumed to be
observed in the detector. Predictions are presented for cms energies of 1GeV,
3GeV and 10GeV, corresponding to the energies of DAPHNE, BEBC and of B-meson
factories. The event rates are sufficiently high to allow for a precise
measurement of R(Q^2) in the region of Q between approximately 1GeV and 2.5GeV.
Estimates for the kinematic breaking of isospin relations between different
channels as a consequence of the mass difference between charged and neutral
pions are given.
