Question

413Drag each tile to the correct box.Paul orders 3 different sizes of pizzas. Each pizza is cut into equal-sized slices as described in the table. Put the pizzas in order by the area of aslice from smallest area to largest area.Radius (inches) Number of Slices86Pizza 1Pizza 2Pizza 3161412slice from pizza 14slice from pizza 3slice from pizza 2

Answer 1

Pizza 1:

Area:

$\begin{gathered} A_1=\pi r_1^2 \\ \\ A_1=\pi(16\text{ inc})^2=256\pi\text{ }inch^2 \end{gathered}$

Area of each slice:

$A_{s1}=\frac{256\pi}{8}=32\pi\text{ }inch^2$

Pizza 2:

Area:

$\begin{gathered} A_2=\pi r_2^2 \\ \\ A_2=\pi(14\text{ inc})^2=196\pi\text{ }inch^2 \end{gathered}$

Area of each slice:

$A_{s2}=\frac{196\pi}{6}=32.67\pi\text{ }inch^2$

Pizza 3:

Area:

$\begin{gathered} A_3=\pi r_3^2 \\ \\ A_3=\pi(12\text{ inch})^2=144\pi\text{ }inch^2 \end{gathered}$

Area of each slice:

$A_{s3}=\frac{144\pi}{4}=36\pi\text{ }inch^2$

The smallest slice is from pizza 1, then the slice from pizza 2, and the largest is from pizza 3.