How much more crust do you get with a medium pizza that has a diameter of 12 inches than a small pizza with a 5 inch diameter? Use 3.14 for pi.

Answer 1

Nathan,

When you think about the amount of crust on a pizza, what do you think we are considering? Do you think we are considering the area or the circumference of the pizza?

Since the crust is just the extra breading around the pizza, we are thinking of the circumference. We can now consider the formula for the circumference of a circle:

circumference = ∏ * diameter or circumference = 2 * ∏ * radius

In the question, we are given the diameter, so we can apply the first formula. Let's plug in what we know for the medium pizza:

circumference = (3.14) * (12 inches)

circumference = 37.68 inches

Let's do the same thing for the small pizza:

circumference = (3.14) * (5 inches)

circumference = 15.7 inches

So now that we've found the individual circumferences, we can find how much more we get from the medium pizza by subtracting the small pizza from the medium pizza.

37.68 inches - 15.7 inches = 21.98 inches.

Therefore, you get 21.98 inches more crust on the medium pizza than the small pizza.