Question

Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shapes gives you more pizza and by how many square inches? (Round your answer to the nearest whole number)

Answer 1

Answer: Square, 24 square inches

Explanation:

Given

Diameter of round pizza
`d=16\ in.`

Side of square pizza
`a=15\ in.`

Area of circle
`\pi r^2`

The area of a square is
`a^2`

`\therefore \text{Area of round Pizza}=\pi * ((16)/(2))^2\\\Rightarrow A_1=\pi * 8^2=201.088\ in.^2`

The area of square pizza is

`A_2=15^2=225\ in.^2`

Clearly, the area of square pizza is more and the difference in their area is

`\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2`