A pizza parlor in Tallahassee sells a pizza with a 16-inch diameter. A pizza parlor in Jaco, Costa Rica, sells a pizza with a 27.8-centimeter diameter.
Part A: How many square inches of pizza is the pizza from Tallahassee? Show every step of your work. (1 point)
Part B: How many square centimeters of pizza is the pizza from Jaco, Costa Rica? Show every step of your work. (1 point)
Part C: If 1 in. = 2.54 cm, which pizza has the larger area? Show every step of your work. (1 point)
Part D: Using the diameter of each pizza, determine the scale factor relationship between the pizzas. (1 point)
Part A:
Radius of the pizza in Tallahassee = 16 inches / 2 = 8 inches
Area = π * (8 inches)^2 = π * 64 square inches
Area ≈ 201.06 square inches
Part B:
Radius of the pizza in Jaco, Costa Rica = 27.8 cm / 2 = 13.9 cm
Area = π * (13.9 cm)^2 = π * 193.21 square centimeters
Area ≈ 607.21 square centimeters
Part C:
To convert the area of the pizza from Tallahassee to square centimeters:
201.06 square inches * (2.54 cm/1 inch)^2 ≈ 1300.99 square centimeters
Since 1300.99 square centimeters < 607.21 square centimeters, the pizza from Jaco, Costa Rica has the larger area.
Part D:
Scale factor = Diameter of pizza in Jaco, Costa Rica / Diameter of pizza in Tallahassee
Scale factor = 27.8 cm / 16 inches
Scale factor ≈ 1.7375