Answer:
[tex]A_4 = 170\ in^2[/tex]
Step-by-step explanation:
Given
[tex]Diameter = 18\ in[/tex]
[tex]Slices = 6[/tex]
[tex]Eaten = 2[/tex]
Required
Determine the area of the discarded part
First, calculate the area of the pizza.
[tex]Area = \frac{\pi D^2}{4}[/tex]
Substitute 18 for D and 3.14 for [tex]\pi[/tex]
[tex]Area = \frac{3.14 *18^2}{4}[/tex]
[tex]Area = \frac{1017.36}{4}[/tex]
[tex]Area = 254.34[/tex]
If he eats 2 out of the 6 slices, then it means he discarded 4 out of the 6.
So, the area of the 4 is:
[tex]A_4 =\frac{4}{6} * Area[/tex]
[tex]A_4 =\frac{4}{6} * 254.34[/tex]
[tex]A_4 =\frac{4* 254.34}{6}[/tex]
[tex]A_4 =\frac{1017.36}{6}[/tex]
[tex]A_4 =169.56in^2[/tex]
[tex]A_4 = 170\ in^2[/tex] -- approximated
The area of the discarded is 170 square inches
