Answer:
62.83 m²
Explanation:
The area of the path is calculated as
area of outside circle - area of reservoir
= πr₁² - πr₂²
where r₁ is the radius of the outer circle and r₂ the radius of the reservoir
diameter of reservoir = 8 m, hence radius = 4 m
radius of outer circle = radius of reservoir + width of path = 4 + 2 = 6 m, thus
area of path = π × 6² - π × 4² = 36π - 16π = 20π ≈ 62.83 m²