Final answer:
To calculate the difference in area between two pizzas with 16-inch and 20-inch diameters, we use the area formula for circles. After computing the areas, the difference is approximately 112.94 square inches.
Step-by-step explanation:
Difference in Area of Two Pizzas
To find the approximate difference in the area of two pizzas with diameters of 16 inches and 20 inches, respectively, we need to use the formula for the area of a circle, which is A = πr^2 (where A is the area, π is pi approximately equal to 3.14, and r is the radius of the circle).
First, we find the radius of each pizza by dividing the diameter by 2. Therefore, the radius of the first pizza (Martin's) is 8 inches, and the radius of the second pizza (Ricky's) is 10 inches.
Next, we calculate the area of each pizza:
-
- Martin's pizza: A1 = π * 8^2 ≈ 3.14 * 64 ≈ 201.06 square inches
-
- Ricky's pizza: A2 = π * 10^2 ≈ 3.14 * 100 ≈ 314 square inches
Finally, to find the difference in area, we subtract Martin's pizza area from Ricky's pizza area:
Approximate difference in area = A2 - A1
= 314 - 201.06
≈ 112.94 square inches.