Question

Pat and Jose go out to eat pizza. They order a large pizza which has a diameter of 14 inches. The pizza comes cut in 8 equal slices. If Jose eats 3 slices, what is the area of a pizza left for Pat to eat? Round to the nearest tenth

Answer 1

Answer:

$96.2\ in^2$

Step-by-step explanation:

step 1

Find the area of the complete pizza

The area is equal to

$A=\pi r^{2}$

we have

$r=14/2=7\ in$ ----> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(7)^{2}=153.86\ in^2$

step 2

we know that

The pizza comes cut in 8 equal slices.

If Jose eats 3 slices, then the remaining slices are 5

so

The area of the pizza left is equal to multiply the fraction 5/8 by the complete area of the pizza

$153.86(\frac{5}{8})= 96.2\ in^2$