A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.

Give your answer as an exact value.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.

Give your answer as an exact value.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.

Give your answer as an exact value.