How much more pizza is in a 12-in. diameter pizza than an 8-in. diameter pizza?
Round your answer to the nearest hundredth.
Be sure to show all work and label your answer!
Find the area of the first pizza:
A = πr^2 = π(6^2)
= 36π
find the area of the smaller pizza
take the difference in the two areas
To find the difference in the amount of pizza between a 12-inch diameter pizza and an 8-inch diameter pizza, we can use the formula for the area of a circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.
First, let's find the radius of both pizzas. The radius is half the diameter, so for the 12-inch pizza, the radius is 12/2 = 6 inches, and for the 8-inch pizza, the radius is 8/2 = 4 inches.
Next, let's find the areas of each pizza using the formula for the area of a circle. For the 12-inch pizza, the area is A = π(6^2) = π(36) = 113.04 square inches. For the 8-inch pizza, the area is A = π(4^2) = π(16) = 50.27 square inches.
Now, to find the difference in the amount of pizza, we subtract the area of the 8-inch pizza from the area of the 12-inch pizza:
113.04 square inches - 50.27 square inches = 62.77 square inches
Therefore, there is approximately 62.77 square inches more pizza in a 12-inch diameter pizza than an 8-inch diameter pizza.