Question

Find the area of the rug. DO NOT ROUND.

what is the area?

Answer 1

`\underline{\underline{28.26 \ \text{feet}^(2)}}`

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

• ⇒
  `\text{Diameter = 2(Radius)}`
• ⇒
  `\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}`
• ⇒
  `\frac{\text{Diameter}}{2} = \text{Radius}`

Substitute the diameter to obtain the radius of the rug.

• ⇒
  `(6)/(2) = \text{Radius}`
• ⇒
  `\text{3 feet = Radius}`

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug = πr²

=
`\pi (3)^(2)`

=
`\pi (3)(3)`

=
`\pi(9)`

Substituting π as 3.14 (Stated in comments):

=
`(3.14)9`

=
`\underline{\underline{28.26 \ \text{feet}^(2)}}`

Answer 2

28.26 ft²

Step-by-step explanation:

`\sf area \ of \ circle = \pi r^2`

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

`\dashrightarrow \ \pi (3)^2`

`\dashrightarrow \ 9\pi`

`\dashrightarrow \ 9(3.14)`

`\dashrightarrow \ 28.26 \ ft^2`