Answer:
[tex]78.5\ ft^{2}[/tex]
Step-by-step explanation:
we know that
If the floor of Cara's living room is 10 feet by 14 feet
then
the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet
Find the area of the circular rug
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=10/2=5\ ft[/tex] ----> the radius is half the diameter
[tex]\pi=3.14[/tex]
substitute the values
[tex]A=(3.14)(5)^{2}=78.5\ ft^{2}[/tex]
