Question

the diagram shows a square pizza box with side lengths of 8 inches. in the box is a circular pizza with a radius of 3 inches. what is the difference between the area of box and the pizza? use π = 3.14 and round your answer to the nearest hundredth.

Explanation:

Step1: Calculate area of square box

The formula for the area of a square is \( A = s^2 \), where \( s \) is the side length. Here, \( s = 8 \) inches. So, \( A_{\text{box}} = 8^2 = 64 \) square inches.

Step2: Calculate area of circular pizza

The formula for the area of a circle is \( A = \pi r^2 \), where \( r \) is the radius. Here, \( r = 3 \) inches and \( \pi = 3.14 \). So, \( A_{\text{pizza}} = 3.14 \times 3^2 = 3.14 \times 9 = 28.26 \) square inches.

Step3: Find the difference

Subtract the area of the pizza from the area of the box: \( \text{Difference} = A_{\text{box}} - A_{\text{pizza}} = 64 - 28.26 = 35.74 \) square inches.

Answer:

35.74 square inches