Answer
$14.1 \; in^2$.
Work Step by Step
Given values are:-
Diameter of the pizza $d=12.0\; in$.
Radius $r=\frac{d}{2}$
$r=\frac{12.0\; in}{2}$
$r=6.0\; in$
Number of slices $n=8$.
One complete angle of the pizza $=2\pi \; rad$.
Central angle for one slice $\theta = \frac{2\pi}{n}\;rad$.
Substitute the value of $n$.
$\theta = \frac{2\pi}{8}\;rad$
Simplify.
$\theta = \frac{\pi}{4}\;rad$
Formula for the area of one slice
$A=\frac{1}{2}r^2\theta$
Substitute all values.
$A=\frac{1}{2}(6.0\;in)^2(\frac{\pi}{4})$
Rounded to the one decimal place. $A=14.1 \; in^2$.
