To find the area of each slice of a pizza with a diameter of 24 inches that is cut into 16 equal slices, follow these steps:
1. Calculate the radius of the pizza:
The radius is half of the diameter, so for a pizza with a diameter of 24 inches, the radius [tex]\( r \)[/tex] is:
[tex]\[
r = \frac{24}{2} = 12 \text{ inches}
\][/tex]
2. Calculate the area of the entire pizza:
The formula for the area [tex]\( A \)[/tex] of a circle is given by:
[tex]\[
A = \pi r^2
\][/tex]
Substituting the radius [tex]\( r = 12 \)[/tex] inches:
[tex]\[
A = \pi (12^2) = \pi \times 144 \approx 452 \text{ square inches}
\][/tex]
3. Calculate the area of each slice:
Since the pizza is divided into 16 equal slices, the area of each slice [tex]\( A_{\text{slice}} \)[/tex] is:
[tex]\[
A_{\text{slice}} = \frac{A_{\text{pizza}}}{16} = \frac{452}{16} \approx 28 \text{ square inches}
\][/tex]
Therefore, the area of each slice of the pizza, to the nearest square inch, is:
A. 28 in[tex]\(^2\)[/tex]
