Question

Johns pizza sells one 18 inch cheese pizza or two 12-inch pizza for 10.99 determine which size gives more pizza

Answer 1

the 18-inch pizza gives more pizza with an are of 254.47 squared inches

Step-by-step explanation

the area of a circle is given by:

`\begin{gathered} A=\pi radius^2 \\ A=\pi\text{ (}(diameter^2)/(4)\text{)} \end{gathered}`

Step 1

find the area of the 18-inches pizza

let

diameter= 18 inces

replace

`\begin{gathered} A=\pi\text{ (}(diameter^2)/(4)\text{)} \\ A=\pi\text{ (}(18^2)/(4)\text{)} \\ A=\pi\text{ 81} \\ A=254.469(in)^2 \end{gathered}`

Step 2

now, the area of the 12-inch pizza

let

diameter= 12 inces

replace

`\begin{gathered} A=\pi\text{ (}(diameter^2)/(4)\text{)} \\ A=\pi\text{ (}(12^2)/(4)\text{)} \\ A=\pi\text{ 3}6 \\ A_2=113.09(in)^2 \end{gathered}`

Step 3

finally, compare

one 18-inch pizza or 2 12-inch pizza

`\begin{gathered} A_1?2A_2 \\ 254.469(in)^2\text{ =?= 2(113.09)}(in)^2\text{ } \\ 254.469(in)^2\text{ =?= 226.194}(in)^2\text{ } \\ therefore \\ 254.469(in)^2\text{ }>\text{ 226.194}(in)^2\text{ } \\ rouded \\ 254.469(in)^2\text{ }\rightarrow254.47(in)^2\text{ } \\ \end{gathered}`

the 18-inch pizza gives more pizza with an are of 254.47squared inches

I hope this helps you