Question

Put the pizzas in order by the area of a slice from smallest area to largest area

Answer 1

Pizza 1, Pizza 2, Pizza 3

Step-by-step explanation

We want to put the pizzas in order by the area of a slice from smallest area to largest area.

To do this, first, we have to first the area of each slice for each pizza. This is found by finding the area of each pizza and dividing it by the number of slices in the pizza.

Pizzas are shaped as circles, hence, the area of a pizza is:

`A=\pi r^2`

where r = radius of the pizza

For pizza 1, its area is:

`\begin{gathered} A_1=\pi *16^2 \\ \\ A_1=804.25\text{ }in^2 \end{gathered}`

And the area of each slice is:

`\begin{gathered} (804.25)/(8) \\ \\ 100.53\text{ }in^2 \end{gathered}`

For pizza 2, its area is:

`\begin{gathered} A_2=\pi *14^2 \\ \\ A_2=615.75\text{ }in^2 \end{gathered}`

And the area of each slice is:

`\begin{gathered} (615.75)/(6) \\ \\ 102.63\text{ }in^2 \end{gathered}`

For pizza 3, its area is:

`\begin{gathered} A=\pi *12^2 \\ \\ A=452.39\text{ }in^2 \end{gathered}`

And the area of each slice is:

`\begin{gathered} (452.39)/(4) \\ \\ 113.10\text{ }in^2 \end{gathered}`

Therefore, in order of smallest slice area to largest slice area, the answer is:

Pizza 1, Pizza 2, Pizza 3