Question

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

Answer 1

Answer:

28.26 ft²

Step-by-step explanation:

Formula:

$\text{Area of circular rug:} = \pi r^{2}$

Determining the radius of the circular rug:

To determine the radius, we need to divide the diameter by 2.

Given diameter: 6 feet

$\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}$

$\implies {\dfrac{\text{6}}{2} = \text{Radius}$

$\implies 3\ \text{feet} = \text{Radius}$

Replacing the radius in the formula:

$\implies \text{Area of circular rug:} = \pi (3)^{2}$

Determining the area of the circular rug:

$\implies \text{Area of circular rug:} = \pi (3)^{2}$

$\implies \text{Area of circular rug:} = 9\pi$

Replacing π as 3.14 (Approx. measure of π):

$\implies \text{Area of circular rug:} = 9(3.14)$

$\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}$

Answer 2

Answer:

$\frac{198}{7} \ \text{feet}^{2}$

Step-by-step explanation:

Given:

• Diameter of rug = 6 feet

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

Where:

• r = radius
• d = diameter

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ $\pi (\frac{D}{2} )^{2}$

⇒ $\pi (\frac{6}{2} )^{2}$

⇒ $\pi (3 )^{2}$

⇒ $\pi (3 )(3)$

⇒ $9\pi$

Substituting "22/7" as π:

⇒ $9(\frac{22}{7} )$

⇒ $(\frac{198}{7} )$

When finding the area of ANY shape, do not forget to include the units.

⇒ $\frac{198}{7} \ \text{feet}^{2}$