The radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.

Calculate the area. Give your answer correct to four decimal places.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.

Calculate the area. Give your answer correct to four decimal places.
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 radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.

Calculate the area. Give your answer correct to four decimal places.