To determine how much pizza sauce is needed to cover a 16" pizza, we can calculate the area of the pizza, since the sauce will cover the surface area of the pizza.
The formula for the area \(A\) of a circle is:
\[ A = \pi r^2 \]
where \(r\) is the radius of the circle. The radius is half of the diameter, so for a 16" pizza, the radius \(r\) is:
\[ r = \frac{16}{2} = 8\text{ inches.} \]
Now, we can plug this into the area formula:
\[ A = \pi (8^2) = \pi (64) \approx 3.14 \times 64 \approx 200.96 \text{ square inches.} \]
So, the amount of pizza sauce needed to cover a 16" pizza is approximately 200.96 square inches.
Thus, the answer is B: 200.96.
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