Question

the areas of three circles are shown. which list shows the circles in order from greatest to least area? A: circle z, circle y, circle xB: circle y, circle z, circle xC: circle x, circle z, circle yD: circle x, circle y, circle z

Answer 1

given: the area of three circles

As shown:

$\begin{gathered} X=9\pi \\ Y=\frac{\sqrt[]{3}}{2} \\ Z=27.5 \end{gathered}$

To make the circles in order from greatest to the least, we will convert all numbers to decimals:

So,

$\begin{gathered} X=9\pi=28.274 \\ Y=\frac{\sqrt[]{3}}{2}=0.866 \\ Z=27.5 \end{gathered}$

As shown, the greatest is X and the least is Y

So, the order will be:

X , Z , Y

so, the answer is option C: circle x, circle z, circle y