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.

Step-by-step 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=(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* (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.