The area \( A \) of a circle can be calculated using the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle. Given that the radius \( r \) is 16 m:
\[ A = \pi (16)^2 \]
Calculating \( (16)^2 \):
\[ (16)^2 = 256 \]
Now substituting that back into the area formula:
\[ A = \pi \times 256 \]
Thus, the area of the circle in terms of \( \pi \) is:
\[ A = 256\pi \text{ m}^2 \]