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A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square feet of flooring will be required?

A. 346.19 square feet
B. 32.97 square feet
C. 65.94 square feet
D. 1384.74 square feet

Respuesta :

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

[tex]\text{Radius}=\frac{\text{21 feet}}{2}[/tex]

[tex]\text{Radius}=\text{10.5 feet}[/tex]

[tex]\text{Area of circle}=\pi r^2[/tex]

[tex]\text{Area of circle}=\pi (\text{10.5 feet})^2[/tex]

[tex]\text{Area of circle}=3.14*110.25\text{ feet}^2[/tex]

[tex]\text{Area of circle}=346.185\text{ feet}^2[/tex]

[tex]\text{Area of circle}\approx 346.19\text{ feet}^2[/tex]

Therefore, 346.19 square feet of flooring will be required.

JeanaShupp

Answer:  A. 346.19 square feet

Step-by-step explanation:

We know that , the formula to find the area of the circle is given by :-

[tex]\text{Area}=\pi r^2[/tex] , where r is the radius.   (1)

Given : A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

That mean , the diameter of the circle = 21 feet

Then radius = half of diameter = [tex]\dfrac{21}{2}=10.5\text{ feet}[/tex]

Now, the area of the bandstand :-

[tex]\text{Area}=\pi (10.5)^2[/tex]                                [using (1)]

Put [tex]\pi=3.14[/tex] , we gte

[tex]\text{Area}=(3.14)(110.25)=346.185\approx346.19\text{ square feet }[/tex]    

Hence, the 346.19 square feet flooring will be required .

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