Question

Your living room is a rectangular room, 35x 28 feet. There is a quarter circle hardwood floor (with a 6-foot radius) where the door is, but the rest of the room needs to be covered in carpet.

What is the area of the hardwood floor portion of the room? ​

Answer 1

A = 28.274ft^2

Explanation:

Since we have the radius, we can find the area of the circle if it was a full circle.

`A = \pi r^(2)`

Plug in the radius of 6 feet:

`A = \pi 6^(2)` =
`113.09734`

With the area of the full circle, we can divide the area by 4 to get the area of a quarter of that circle.

`113.09734 / 4 = 28.274335` or about
`28.274ft^(2)`