Question

a pizza with a diameter of 12 inches is cut into 8 equal slices. to the nearest square inch, what is the area of each slice of the pizza?
a. 18 in²
b. 28 in²
c. 5 in²
d. 14 in²

Explanation:

Step1: Find the radius of the pizza

The diameter $d = 12$ inches, and the radius $r=\frac{d}{2}=\frac{12}{2}=6$ inches.

Step2: Calculate the area of the whole pizza

The area formula for a circle is $A=\pi r^{2}$. Substituting $r = 6$ inches, we get $A=\pi\times6^{2}=36\pi$ square - inches.

Step3: Find the area of each slice

The pizza is cut into 8 equal slices. So the area of each slice $a=\frac{A}{8}=\frac{36\pi}{8}=\frac{9\pi}{2}\approx\frac{9\times3.14}{2}=14.13$ square - inches.
Rounding to the nearest square inch, $a\approx14$ square inches.

Answer:

D. 14 in²