Question

The box is a square. It's perimeter is 48 inches. The pizza has a circumference of 37.68 inches. What is the difference in the area of the pizza and the area of the pizza box? round to the nearest tenth

Answer 1

23.6 i hope it helps I'm not sure if its right

Answer 2

The Box has perimeter of 48 inches which is a square.

Perimeter of square is side * side.

$perimeter = side * side$

plugging value of perimeter here to get side

$48 = 4 * side$

$side = 48/4$

side =12 inches.

Area of square box = side *side = 12*12 =144 in².................(1)

Now we are given circumference of pizza as 37.68 inches.

Circumference of circle is given by:

$c=2\pi r$

$37.68=2\pi r$

finding r from here we have

r=6 inches.

Area of circle is given by :

$A = \pi r^{2}$

plugging value of r,

$A = \pi 6^{2}$

Area of pizza = 113.04 in²...................(2)

Difference = (1) -(2) = 144 - 113.04 = 30.96 in²

the difference in the area of the pizza and the area of the pizza box is approximately 31 inches square.