The area of the largest circular fire that can be made in the fire pit is 452 in²
Explanation:
Given that the rectangular fire pit is 3 feet by 2 feet.
We need to determine the area of the largest circular fire that can be made in this square pit
The diameter is 2 feet.
The radius of the fire pit is 1 feet.
The area can be determined using the formula,
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
Substituting
and
, we get,
![A=(3.14)(1)^2](https://tex.z-dn.net/?f=A%3D%283.14%29%281%29%5E2)
Simplifying, we get,
![A=3.14 \ ft^2](https://tex.z-dn.net/?f=A%3D3.14%20%5C%20ft%5E2)
Now, we shall convert feet to inches.
To convert feet to inches, we need to multiply it with 12.
Since, the result in square feet, we need to multiply it with 12²
Thus, we have,
![A=3.14\times12^2](https://tex.z-dn.net/?f=A%3D3.14%5Ctimes12%5E2)
![=3.14\times144](https://tex.z-dn.net/?f=%3D3.14%5Ctimes144)
![A=452.16 \ in^2](https://tex.z-dn.net/?f=A%3D452.16%20%5C%20in%5E2)
Rounding off to the nearest square inch, we have,
![A=452 \ in^2](https://tex.z-dn.net/?f=A%3D452%20%5C%20in%5E2)
Hence, the area of the largest circular fire that can be made in the fire pit is 452 in²