Elastic and inelastic scattering of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>π</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>π</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">C</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>at 995 MeV/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:math>

${\ensuremath{\pi}}^{+}$ and ${\ensuremath{\pi}}^{\ensuremath{-}}$ elastic and inelastic scattering to the ${2}_{1}^{+}$(4.44 MeV) state on $^{12}\mathrm{C}$ at 995 MeV/$c$ were measured over an angular range for elastic-scattering from ${5.4}^{\ifmmode^\circ\else\textdegree\fi{}}$ to ${28.2}^{\ifmmode^\circ\else\textdegree\fi{}}$ and for inelastic scattering from ${15.2}^{\ifmmode^\circ\else\textdegree\fi{}}$ to ${22.8}^{\ifmmode^\circ\else\textdegree\fi{}}$. Both of the elastic-scattering data sets were well reproduced by first-order factorized momentum-space optical potential calculations with free \ensuremath{\pi}-$N$ elementary amplitudes and three different ground state densities, which were deduced from the charge density and microscopic model calculations, the cluster model and the shell model. We also extracted ${\ensuremath{\sigma}}_{\mathrm{tot}},{\ensuremath{\sigma}}_{\mathrm{el}}$, and ${\ensuremath{\sigma}}_{R}$ phenomenologically and compared them with a Fermi averaging model. The inelastic cross sections of ${\ensuremath{\pi}}^{+}$-$^{12}\mathrm{C}$ and ${\ensuremath{\pi}}^{\ensuremath{-}}$-$^{12}\mathrm{C}$ were compared with the DWIA calculations, one using the transition density(${0}^{+}\ensuremath{\rightarrow}{2}_{1}^{+}$) deduced by the cluster model and the other using the transition density deduced by the shell model.