Answer:
The rug has covered approximately 95 square feet of the living room.
Step-by-step explanation:
Given:
Diameter of rug = 11 feet
We need to find the area covered in living room by the rug.
Solution:
Diameter of rug = 11 feet
Radius is half of the diameter.
Radius of the rug = [tex]\frac{11}{2}=5.5\ ft[/tex]
Now it has been given that rug is in circular shape.
So we will find the area of the rug using Area of circle formula which is given by π times square of the radius.
Framing in equation form we get;
area of the rug = [tex]\pi r^2 = 94.99\ ft^2 \approx 95\ ft^2[/tex]
Hence The rug has covered approximately 95 square feet of the living room.