Aline wants to slice an orange for her friends. The length of one slice from top to bottom is 6 inches. Assuming the orange was cut straight down the middle, what is the area of that orange slice?(1 point)

Question

π in.2

Answer 1

Since the orange slice is cut straight down the middle, it forms a semicircle. The formula for the area of a semicircle is:

Area = (1/2)πr^2

Given that the length of the slice from top to bottom is 6 inches, the radius (r) of the semicircle would be half of that, which is 3 inches. Plugging this value into the formula:

Area = (1/2)π(3)^2
Area = (1/2)π(9)
Area = 4.5π in^2

Therefore, the area of the orange slice is 4.5π square inches.