A piece of restaurant office two sizes of pizzas small and large. The small pizza cost $12 and has a diameter of 10 inches while the lodge pizza cost $18 and has a diameter of 16 inches if the cost of ingredients per square inch for both sizes is the same which pizza size provides more value for the money
To compare which pizza size provides more value for the money, we need to calculate the cost per square inch for each size.
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.
For the small pizza with a diameter of 10 inches, the radius is 5 inches.
The area of the small pizza is A = π(5)^2 = 25π ≈ 78.54 square inches.
The cost per square inch for the small pizza is $12 / 78.54 ≈ $0.1524.
For the large pizza with a diameter of 16 inches, the radius is 8 inches.
The area of the large pizza is A = π(8)^2 = 64π ≈ 201.06 square inches.
The cost per square inch for the large pizza is $18 / 201.06 ≈ $0.0896.
Therefore, the large pizza provides more value for the money as it has a lower cost per square inch compared to the small pizza.