Question

The floor of Cara's living room is 10 feet by 14 feet. What is the area, in square feet, of the largest circular rug that can fit in Cara's living room? (Use 3:14 to approximate pi)

Answer 1

`78.5\ ft^(2)`

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

`A=\pi r^(2)`

we have

`r=10/2=5\ ft` ----> the radius is half the diameter

`\pi=3.14`

substitute the values

`A=(3.14)(5)^(2)=78.5\ ft^(2)`