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The area of the orange slice can be calculated using the formula for the area of a circle, which is πr^2, where r is the radius of the circle.
Since the orange slice is cut straight down the middle, the radius of the circle would be half of the diameter, which is 6 inches. Therefore, the radius, r, would be 3 inches.
Plugging the radius into the formula:
Area = π(3)^2
Area = π(9)
Area ≈ 28.27 square inches
Therefore, the area of the orange slice is approximately 28.27 square inches.