Respuesta :

The area of one round rug with a diameter of 9ft is:

[tex]A=\pi\cdot r^2\Rightarrow A=\pi\cdot(\frac{9}{2})^2\Rightarrow A=\pi\cdot\frac{81}{4}[/tex]

Then, for 8 round rugs we have that the total area is:

[tex]A=\pi\cdot\frac{81}{4}\cdot8\Rightarrow A=\pi\cdot81\cdot2\Rightarrow A=162\cdot\pi[/tex]

Then, the area of the 8 round rugs is 162*pi ft^2 (508.94ft^2, approximately).