\[l - длина\ окружности:;\]
\[C = 2\pi\text{R\ \ \ }\]
\[R = \frac{C}{2\pi} = \frac{l}{2\pi};\]
\[S = \pi R^{2} = \pi \bullet \frac{l^{2}}{4\pi^{2}} = \frac{l^{2}}{4\pi}.\]
\[Ответ:\ \ \frac{l^{2}}{4\pi}.\]