Question

What is the area of floor covered by 8 round rugs with a diameter of 9 ft?

Answer 1

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

`A=\pi\cdot r^2\Rightarrow A=\pi\cdot((9)/(2))^2\Rightarrow A=\pi\cdot(81)/(4)`

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

`A=\pi\cdot(81)/(4)\cdot8\Rightarrow A=\pi\cdot81\cdot2\Rightarrow A=162\cdot\pi`

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