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 in…

Question

asked Mar 14, 2022 53.8k views

1 Answer

Owczar · Answer 1 · 2022-03-19T12:18:02+0000

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

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