At a campground, a rectangular fire pit is 5 feet by 4 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.
clearly the largest circle will have a diameter of 4 ft, or a radius of 2 ft
area = π(2^2) = 4π ft^2 = ......
In this time of calculators, using 3.14 for π and then rounding off that rounded constant is rather silly. Most calculators have a special key for π, use it.
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 circle is inscribed within the the rectangle and so it has diameter equal to the smaller of the two sides of the rectangle.
r=1.5 ft=18 in
Area=pi*r^2=324pi in^2 or approx 1017 square inches
To find the area of the largest circular fire that can be made in the rectangular fire pit, we need to determine the largest possible circle that can fit inside the rectangle.
The largest possible circle that can fit inside a rectangle is one that has a diameter equal to the shorter side of the rectangle. In this case, the shorter side of the rectangle is 4 feet.
The diameter of a circle is equal to twice the radius. Therefore, the radius of the largest circle is half the diameter, which is 4 feet / 2 = 2 feet.
The formula to calculate the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Plugging in the given value of π as 3.14 and the radius as 2 feet into the formula, we can calculate the area:
A = 3.14 * (2 feet)^2 = 3.14 * 4 square feet
The resulting area is approximately 12.56 square feet.
Since the question asks for the answer rounded to the nearest square inch, we need to convert square feet to square inches.
To convert from square feet to square inches, we know that 1 square foot is equal to 144 square inches (12 inches multiplied by 12 inches). Therefore, to convert square feet to square inches, we multiply by 144.
12.56 square feet * 144 square inches/square foot ≈ 1808.64 square inches
Rounding to the nearest square inch, the area of the largest circular fire that can be made in the rectangular fire pit is approximately 1809 square inches.
Diameter = 4'
radius = 2' = 24 inches
Area = pi r^2 = 576 pi in^2