Answer: approximately 169.646 square inches.
Explanation:
Find the area of the circle using the formula: Area = π * radius^2
Multiply the area by 2/3 to find two-thirds of the area.
Let's go through the calculations:
Find the area of the circle:
Given radius (r) = 9 inches
Area = π * 9^2
Area = π * 81 square inches (Since 9^2 = 81)
Find two-thirds of the area:
Two-thirds of the area = (2/3) * π * 81
Two-thirds of the area ≈ 169.646 square inches (rounded to three decimal places)