To solve this problem, we need to follow several steps including finding the area of the pizza and then dividing it into the number of slices. Here's a detailed step-by-step breakdown:
1. Calculate the radius of the pizza:
- The diameter of the pizza is given as 24 inches.
- The radius is half of the diameter.
- Hence, the radius is [tex]\( \frac{24}{2} = 12 \)[/tex] inches.
2. Calculate the total area of the pizza:
- The area [tex]\( A \)[/tex] of a circle is given by the formula [tex]\( A = \pi r^2 \)[/tex], where [tex]\( r \)[/tex] is the radius of the circle.
- Substituting the radius:
[tex]\[
A = \pi \times (12)^2
\][/tex]
- This calculation gives the total area of the pizza as approximately 452.39 square inches.
3. Calculate the area of one slice of pizza:
- There are 16 equal slices.
- To find the area of one slice, divide the total area of the pizza by the number of slices:
[tex]\[
\text{Area of one slice} = \frac{452.39}{16} \approx 28.27
\][/tex]
4. Round the area of each slice to the nearest square inch:
- The nearest square inch to 28.27 is 28.
Therefore, the area of each slice of the pizza, rounded to the nearest square inch, is:
C. 28 in²
