Answer:
1) Option B - 25.12 ft
2) Option C - 24.1 ft
Explanation:
1) Given : The circular rug has a diameter of 8.2 feet.
To find : Which measurement is closest to the circumference of the rug in feet?
Solution :
The circumference of rug is given by
![C=\pi d](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4889gpkyupa1tbplhz7m9qvf8421d3sdxn.png)
Where, d is the diameter = 8.2 feet.
![C=3.14* 8.2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i0gwoebjlvqp7wf1001dfiups2socfa78s.png)
![C=25.748\ ft](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p2sgs6wokpb1xq4e7l2jpklhv9m7wthu60.png)
The most closest measurement is 25.12 ft.
Therefore, option B is correct.
2) Given : A circle has a diameter of 5.2 feet.
To find : Which measurement is closest to the circumference of the circle in feet?
Solution :
The circumference of circle is given by
![C=\pi d](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4889gpkyupa1tbplhz7m9qvf8421d3sdxn.png)
Where, d is the diameter = 5.2 feet.
![C=3.14* 5.2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b0wgupvd18gn5suyc9nh0quauv2lxfpto8.png)
![C=16.328\ ft](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mdtsknlwcmxojpk8fjy8a3ugq8qawqqpj4.png)
The most closest measurement is 24.1 ft.
Therefore, option C is correct.