R\] \[\therefore \,C-r=r(2\pi -1)=74\Rightarrow r=\frac{74}{2\pi -1}\] \[\therefore 2\pi r=\frac{74\times 2\pi }{2\pi -1}\,\,\,\,=74\times \frac{44/7}{\frac{44}{7}-1}=74\times \frac{44}{37}=88\,cm\]