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The DUET Collaboration reports on the measurements of the absorption($\sigma_{\mathrm{ABS}}$) and charge exchange ($\sigma_{\mathrm{CX}}$) crosssections of positively charged pions on carbon nuclei for the momentum range201.6 MeV$/c$ to 295.1 MeV$/c$. The uncertainties on the absorption and chargeexchange cross sections are $\sim$9.5\% and $\sim$18\%, respectively. Theresults are in good agreement with previous experiments. A covariance matrixcorrelating the 5 $\sigma_{\mathrm{ABS}}$ and 5 $\sigma_{\mathrm{CX}}$ measureddata points is also reported

Measurement of $\sigma_{\mathrm{ABS}}$ and $\sigma_{\mathrm{CX}}$ of $\pi^+$ on carbon by DUET