The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape shown.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape shown.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape shown.