Question

patsys pizza sells one 12 - inch cheese pizza or two 8 - inch cheese pizzas for $11.99. determine which size gives more pizza. (a = πr²) select the correct choice below and fill in the corresponding answer box to complete your choice. (round to two decimal places as needed.) a. the 8 - inch pizzas give more pizza with a combined area of □ square inches. b. the 12 - inch pizza gives more pizza with an area of □ square inches.

Explanation:

Step1: Calculate area of 8 - inch pizza

The diameter of an 8 - inch pizza is 8 inches, so the radius $r_1=\frac{8}{2}=4$ inches. Using the formula $A = \pi r^{2}$, the area of one 8 - inch pizza is $A_1=\pi\times4^{2}=16\pi$ square inches. The combined area of two 8 - inch pizzas is $A_{8 - inch - total}=2\times16\pi = 32\pi\approx32\times3.14159 = 100.53$ square inches.

Step2: Calculate area of 12 - inch pizza

The diameter of a 12 - inch pizza is 12 inches, so the radius $r_2=\frac{12}{2}=6$ inches. Using the formula $A=\pi r^{2}$, the area of the 12 - inch pizza is $A_2=\pi\times6^{2}=36\pi\approx36\times3.14159 = 113.10$ square inches.

Answer:

B. The 12 - inch pizza gives more pizza with an area of 113.10 square inches.