First, we need to determine the circle's radius, which is half the diameter:
\(r = \cfrac{d}{2} = \cfrac{20}{2} = 10 \; [\text{in}]\)
Next, we can plug the radius into the circle's area formula to solve for its area:
\(A_{\text{Pizza}} = \pi r^2\)
\(A_{\text{Pizza}} = \pi (10)^2\)
\(A_{\text{Pizza}} = \pi (100) \)
\(A_{\text{Pizza}} = 314 \; [\text{in}^2]\)
Finally, to calculate the area of a single slice, we have to divide the whole pizza into \(16\) equal slices:
\(A_{\text{Slice}} = \cfrac{314}{16}\)
\(A_{\text{Slice}} = 19.625 \; \text{in}^2\)
Therefore, we can determine that the area of a slice of pizza is \( 19.6 \; [\text{in}^2]\). Tasty!