Respuesta :
Answer:
To determine whether the personal size pizza with a radius of 3.35 inches will fit on a plate with a radius of 10 inches or 12 inches, we need to compare the sizes of the pizza and the plate.
The area of a circle is calculated using the formula:
Area = π * radius^2.
For the personal size pizza, with a radius of 3.35 inches, the area is:
Area_pizza = π * (3.35)^2.
For the plate with a radius of 10 inches, the area is:
Area_plate_10 = π * (10)^2.
For the plate with a radius of 12 inches, the area is:
Area_plate_12 = π * (12)^2.
To determine if the pizza will fit on a plate, we compare the areas of the pizza and the plate.
If Area_pizza is less than or equal to Area_plate_10, then the pizza will fit on the plate with a radius of 10 inches.
If Area_pizza is less than or equal to Area_plate_12, then the pizza will fit on the plate with a radius of 12 inches.
Let's calculate the areas and compare:
Area_pizza = π * (3.35)^2 = 35.24π
Area_plate_10 = π * (10)^2 = 100π
Area_plate_12 = π * (12)^2 = 144π
Since the area of the pizza, 35.24π, is less than both the area of the plate with a radius of 10 inches, 100π, and the area of the plate with a radius of 12 inches, 144π, the pizza will fit on both plates.
