Question

mathematics. math 003. fall 2025
acheley abraham - abraham 09/24/25 5:50 pm
work: unit 5 - algebra part 1
question 29, 9.5.51
hw score: 94.87%, 37 of 39 points
points: 0 of 1
lombardis pizza sells one 18 - inch cheese pizza or two 11 - inch cheese pizzas for $12.99. determine which size gives more pizza.
the 11 - inch pizzas
the 18 - inch pizza

Explanation:

Step1: Calculate area of 18 - inch pizza

The area formula for a circle is $A = \pi r^{2}$, where the diameter of the 18 - inch pizza is 18 inches, so the radius $r_1=\frac{18}{2}=9$ inches. Then $A_1=\pi\times9^{2}=81\pi$ square inches.

Step2: Calculate area of two 11 - inch pizzas

The diameter of an 11 - inch pizza is 11 inches, so the radius $r_2 = \frac{11}{2}$ inches. The area of one 11 - inch pizza is $A_{s}=\pi\times(\frac{11}{2})^{2}=\frac{121\pi}{4}$ square inches. The area of two 11 - inch pizzas is $A_2 = 2\times\frac{121\pi}{4}=\frac{121\pi}{2}=60.5\pi$ square inches.

Step3: Compare the areas

Since $81\pi>60.5\pi$, the 18 - inch pizza has a larger area.

Answer:

the 18 - inch pizza