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. TWO points for the work...TWO points for the corrrect answer
Find the areas of the two pizzas as I showed you below.
I'll be glad to check your answer.
were did you show me I don't have anything
A = pi * r^2
A = 3.14 * 16
A = 50.24 square inches
50.24 / 12 = _______ square inches
geometry - Becky, Saturday, May 4, 2013 at 7:44pm
4.2
To find the difference in the amount of pizza between a 12-inch diameter pizza and an 8-inch diameter pizza, we need to calculate the area of both pizzas and find the difference.
The formula to calculate the area of a circle is given by: A = πr², where A is the area and r is the radius of the circle.
First, let's find the radius of each pizza. The diameter of a circle is twice the radius, so for a 12-inch diameter pizza, the radius would be 12/2 = 6 inches. Similarly, for an 8-inch diameter pizza, the radius would be 8/2 = 4 inches.
Next, we can calculate the area of each pizza:
For the 12-inch diameter pizza:
A₁ = π(6)²
A₁ = 36π square inches
For the 8-inch diameter pizza:
A₂ = π(4)²
A₂ = 16π square inches
Now, we can find the difference in area by subtracting the smaller area from the larger area:
Difference = A₁ - A₂
Difference = 36π - 16π
Difference = 20π square inches
Since we need to round the answer to the nearest hundredth, we can use the approximation π ≈ 3.14:
Difference ≈ 20(3.14)
Difference ≈ 62.8 square inches
Therefore, the difference in the amount of pizza between a 12-inch diameter pizza and an 8-inch diameter pizza is approximately 62.8 square inches.