\[L = 12\pi\ см;\ \ \ a = 27{^\circ}:\]
\[L = \frac{\pi\text{Ra}}{180{^\circ}}\text{\ \ \ }\]
\[R = \frac{180{^\circ}L}{\pi a}\]
\[R = \frac{180{^\circ} \bullet 12\pi}{\pi \bullet 27{^\circ}} = 80\ см.\]
\[Ответ:\ \ 80\ см.\]