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

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

Perimeter of square is side * side.

plugging value of perimeter here to get side

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:

finding r from here we have

r=6 inches.

Area of circle is given by :

plugging value of r,

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.