Question

At a campground, a rectangular fire pit is 7 feet by 6 feet. What is the area of the largest circular fire that can be made in this fire pit? Round to the nearest square inch.

Answer 1

The area of the circular fire pit is 4096 square inches.

Explanation:

Given that the rectangular fire pit is 7 feet by 6 feet.

We need to determine the area of the largest circular fire that can be made in this fire pit.

The diameter of the circular fire is 6 feet

The radius is given by

$r=\frac{6}{2} =3$

Radius is 3 feet.

The area of the largest circular fire pit can be determined using the formula,

$Area=\pi r^2$

Substituting the values in the formula, we have,

$Area = (3.14)(3)^2$

        $=(3.14)(9)$

$Area= 28.26 \ ft^2$

We need to convert feet to inches by multiplying by 12, we get,

$Area = 28.26\times (12)^2$

$Area = 4096.44 \ in^2$

Rounding off to the nearest square inch, we get,

$Area= 4096 \ in^2$

Thus, the area of the circular fire pit is 4096 square inches.