Question

At a campground, a rectangular fire pit is 3 feet by 2 feet. What is the area of the largest circular fire that can be made in this fire pit? Use 3.14 for π. Round to the nearest square inch.

The area of the largest circular fire that can be made in the fire pit is__ in^2

Answer 1

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,

$A=\pi r^{2}$

Substituting $\pi=3.14$ and $r=1$, we get,

$A=(3.14)(1)^2$

Simplifying, we get,

$A=3.14 \ ft^2$

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,

$A=3.14\times12^2$

   $=3.14\times144$

$A=452.16 \ in^2$

Rounding off to the nearest square inch, we have,

$A=452 \ in^2$

Hence, the area of the largest circular fire that can be made in the fire pit is 452 in²