6L = π(1/2)^2
L = π/24
so the long pizza has area π/24 * 6 = π/4
The round pizza has area π * (1/2)^2 = π/4
Those are pretty small pizzas!
I only need help with A and B
A pizzeria is putting on a ‘pie-by-length’ event where customers
can order a rectangular pizza that is 6″ wide by the length of
their choice. Customers can also order circular pizzas of several
diameters.
a. Solving the equation 6L=(pi)(1/2)^2 will give the length/diameter where the two shapes have the same area. Explain how this
formula was determined.
b. For what length/diameter will the two shapes of pizza have the same area? Round the answer to the nearest tenth of an inch.
c. The pizzeria owner says that when customers order pie-by-length, they feel like they are getting more for less. How might he justify this claim?
1 answer