Question

Find the area of the rug. DO NOT ROUND. what is the area?

Answer 1

Answer:

28.26 ft²

Explanation:

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

Here given diameter: 6 ft

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

========

area of rug:

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

$\dashrightarrow \ 9\pi$

$\dashrightarrow \ 9(3.14)$

$\dashrightarrow \ 28.26 \ ft^2$

Answer 2

Answer:

$\underline{\underline{28.26 \ \text{feet}^{2}}}$

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.

• ⇒ $\frac{6}{2} = \text{Radius}$
• ⇒ $\text{3 feet = Radius}$

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):

                                  = $(3.14)9$

                                  = $\underline{\underline{28.26 \ \text{feet}^{2}}}$