The circumference of a pizza is approximately 56.52 inches. One-fourth of the pizza has been eaten. Enter the area of the remaining pizza, in square inches. Round your answer to the nearest hundredth. Use 3.14 for π.
The area of the remaining pizza is
square inches.
The diameter of the pizza can be calculated by dividing the circumference by π (π ≈ 3.14).
Diameter = Circumference / π
Diameter = 56.52 / 3.14
Diameter ≈ 18 inches
The area of the whole pizza can be calculated using the formula for the area of a circle:
Area = π * (radius)^2
Radius = Diameter / 2
Radius = 18 / 2
Radius = 9 inches
Area = 3.14 * 9^2
Area = 3.14 * 81
Area ≈ 254.34 square inches
One-fourth of the pizza has been eaten, so the remaining pizza is three-fourths of the whole pizza. Therefore, the area of the remaining pizza is:
Remaining Area = 3/4 * 254.34
Remaining Area = 190.75 square inches
Therefore, the area of the remaining pizza, rounded to the nearest hundredth, is approximately 190.75 square inches.