Answer
B (16.76)
Work Step by Step
Given Information: The Diameter of the Pizza is 16, and it has 12 slices.
Area of a Slice = $\frac{1}{12}$ of the Area of the Circle
Area of a Circle = $\pi (r)^{2}$, so the Area of a Slice = $\frac{1}{12} (\pi (r)^{2})$
Radius (also known as r) = $\frac{1}{2}$ Diameter (d)
Diameter = 16, so Radius = 8
Area of the Pizza = $\pi (r)^{2} = (8^{2})\pi = 64\pi$
Area of a Slice = $\frac{64\pi}{12} \approx 16.7551608191$
This is a multiple choice question, and 16.7551608191 is closest to answer B, which is 16.76.
