Question

a local pizza parlor is selling two different shapes of cheese pizza for the same price. You can get two small square pizza that have sides of 8 inches or large round pizza with a diameter of 14 inches. Which choice gives you more pizza?

Answer 1

Answer:

The large round pizza with a 14 inch diameter

Explanation:

We can see this as a simple geometry problem. Which is the largest area? Two squares of 8 inches side or a 14 inch diameter circle? Let's see. The area of the square is side * side, in this case 8 * 8, so we have 64 squared inches  in each of the two pizzas. That makes a total of 128 squared inches (64 + 64) for the two small squared pizzas. Now to calculate the circle, we must do the following formula: $\pi *r^{2}$ where r is the radium of the circle. The radium is half of the diameter, in this case 14/2=7. So the formula is 7^2, that is to say 49, multiplied by pi. This gives us approximately 153.93 squared inches, which is bigger than 128. A large round pizza with 14 inches of diameter gives more pizza.

We can also think that most people don't like the crust of the pizza. Two pizzas have more crust than one. So one pizza, besides being bigger, can save you to eat the crust and more cheese and sauce.