Question

1. the areas of three circles are shown. order the circles from greatest area to least area. circle x: a = 9π cm²; circle y: a = \frac{sqrt{3}}{2} cm²; circle z: a = 27.5 cm²; not drawn to scale

Explanation:

Step1: Compare the areas

We have $A_x = 9\pi\ cm^2\approx9\times3.14 = 28.26\ cm^2$, $A_y=\frac{\sqrt{3}}{2}\ cm^2\approx\frac{1.732}{2}= 0.866\ cm^2$, $A_z = 27.5\ cm^2$.

Step2: Order the areas

Comparing the values $28.26>27.5 > 0.866$.

Answer:

Circle X, Circle Z, Circle Y