\[C = \ 125,6\ см:\]
\[C = 2\pi\text{R\ \ \ }\]
\[R = \frac{C}{2\pi} = \frac{125,6}{2\pi} = \frac{62,8}{\pi}.\]
\[S = \pi R^{2} = \frac{{62,8}^{2}}{\pi} =\]
\[= \frac{3943,84}{\pi} \approx 1256\ см^{2}.\]
\[Ответ:\ \ 1256\ см^{2}.\]