Question

johns pizza sells one 12 - inch cheese pizza or two 8 - inch cheese pizzas for $10.99. determine which size gives more pizza. (a = \\(\pi r^{2}\\)) 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 12 - inch pizza gives more pizza with an area of square inches. b. the 8 - inch pizzas give more pizza with a combined area of square inches.

Explanation:

Step1: Calculate area of 12 - inch pizza

The formula for the area of a circle is $A=\pi r^{2}$. The radius $r$ of a 12 - inch pizza is $r = \frac{12}{2}=6$ inches. So the area $A_1=\pi\times6^{2}=36\pi\approx36\times3.14 = 113.04$ square inches.

Step2: Calculate area of two 8 - inch pizzas

The radius $r$ of an 8 - inch pizza is $r=\frac{8}{2} = 4$ inches. The area of one 8 - inch pizza is $A_{8}=\pi\times4^{2}=16\pi$ square inches. The combined area of two 8 - inch pizzas is $A_2 = 2\times16\pi=32\pi\approx32\times3.14=100.48$ square inches.

Answer:

A. The 12 - inch pizza gives more pizza with an area of 113.04 square inches.