  The charged current one pion production induced by $\nu_\mu$ from nucleons
and nuclei like $^{12}$C and $^{16}$O nuclei has been studied. The calculations
have been done for the incoherent and the coherent processes from nuclear
targets assuming the $\Delta$ dominance model and take into account the effect
of Pauli blocking, Fermi motion of the nucleon and renormalization of $\Delta$
properties in a nuclear medium. The effect of final state interactions of pions
has been taken into account. The theoretical uncertainty in the total cross
sections due to various parameterizations of the weak transition form factors
used in literature has been studied. The numerical results for the total cross
sections are compared with the recent preliminary results from the MiniBooNE
collaboration on $^{12}$C and could be useful in analyzing future data from the
K2K collaboration.
