Question

a pizza with a diameter of 24 inches is cut into 16 equal slices. to the nearest square inch, what is the area of each slice of the pizza? a. $28\\ \text{in}^2$ b. $9\\ \text{in}^2$ c. $5\\ \text{in}^2$ d. $57\\ \text{in}^2$

Explanation:

Step1: Find the pizza's radius

The diameter is 24 inches, so radius $r = \frac{24}{2} = 12$ inches.

Step2: Calculate total pizza area

Use circle area formula $A = \pi r^2$.
$A = \pi (12)^2 = 144\pi$ square inches.

Step3: Find area per slice

Divide total area by 16 slices.
$\text{Area per slice} = \frac{144\pi}{16} = 9\pi \approx 9\times3.1416 = 28.2744$ square inches.

Step4: Round to nearest square inch

$28.2744 \approx 28$ square inches.

Answer:

A. $28\ \text{in}^2$