\[R = 6\ см.\]
\[1)\ a = 15{^\circ}:\]
\[S = \pi R^{2} \bullet a\ :360{^\circ} =\]
\[= \pi \bullet 6^{2} \bullet \frac{15{^\circ}}{360{^\circ}} = 1,5\pi.\]
\[Ответ:\ \ 1,5\text{π\ }см^{2}.\]
\[2)\ a = 280{^\circ}:\]
\[S = \pi R^{2} \bullet a\ :360{^\circ} =\]
\[= \pi \bullet 6^{2} \bullet \frac{280{^\circ}}{360{^\circ}} = 28\pi.\]
\[Ответ:\ \ 28\text{π\ }см^{2}.\]