Question

Joe ordered an 18 inch pizza with pineapple and ham on it from Mr. T's Famous Chicago Style Pizzeria. The pizza was cut into 6 slices. Joe ate only two slices and decided he didn't like the famous pizza and discarded the rest. How many square inches of pizza did he throw away? Use 3.14 for pi. Round to the nearest tenth of a square inch.

Answer 1

`A_4 = 170\ in^2`

Explanation:

Given

`Diameter = 18\ in`

`Slices = 6`

`Eaten = 2`

Required

Determine the area of the discarded part

First, calculate the area of the pizza.

`Area = (\pi D^2)/(4)`

Substitute 18 for D and 3.14 for
`\pi`

`Area = (3.14 *18^2)/(4)`

`Area = (1017.36)/(4)`

`Area = 254.34`

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:

`A_4 =(4)/(6) * Area`

`A_4 =(4)/(6) * 254.34`

`A_4 =(4* 254.34)/(6)`

`A_4 =(1017.36)/(6)`

`A_4 =169.56in^2`

`A_4 = 170\ in^2` -- approximated

The area of the discarded is 170 square inches