Question

How much larger is a pizza made in a 22-in-square pizza pan than a pizza made in a 22-in -diameter circular pan? Use 3. 14 for .

Answer 1

Concept:

We will calculate the area of the 22-in diameter pizza and then subtract the 22-in square from it

Step 1:

We will calculate the area of the 22-in diameter circular pan using the formula below

`\begin{gathered} A=\pi r^2 \\ where, \\ \pi=3.14 \\ r=(d)/(2)=(22in)/(2)=11in \end{gathered}`

By substituting the values, we will have

`\begin{gathered} A=\pi r^2 \\ A=3.14*11^2 \\ A=3.14*121 \\ A-=379.94in^2 \end{gathered}`

Step 2:

Subtract both areas to calculate how much larger the big pizza is to the small pizza

The area of the pizza pan is

`A_{pizza\text{ pan}}=22in^2`

The area of the circular pan is

`A_{circular\text{ pan}}=379.94in^2`

Therefore,

The difference in their area will be

`\begin{gathered} =379.94in^2-22in^2 \\ =357.94in^2 \end{gathered}`

Therefore,

The pizza made in the circular pan is larger than that of the pizza pan by

`\Rightarrow357.94in^2`