Question

The diagram below shows a circular pizza with a diameter of 10 inches. The pizza is in a square box with side lengths of 12 inches. In square inches, how much of the box is empty?
Use π = 3.14 and round your answer to the nearest hundredth.

Answer 1

Answer: 65.5 inches of the box is empty.

Step-by-step explanation:

Given : Diamter of circular pizza =10  inches

Then, radius =$\dfrac{10}{2} = 5\text{ inches}$

Area of circle = $\pi r^2$

Area of pizza = $3.14\times(5)^2=78.5\ sq. inches.$

Side of square = 12 inches

Area of  square = side x side.

Area of square = 12 x 12 = 144sq. inches.

Area of box empty = Area of square  - Area of pizza

= 144-78.5 sq. inches

= 65.5 inches

Hence, 65.5 inches of the box is empty.