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Answer:
≈ $41330
Explanation:
Begin by finding the area of the racetrack by subtracting the area of the smaller circle from the larger one.
Calculate the areas of the circles using: A = πr²
Larger circle:
A = π145²
A = 21025π = 66018.5 ft²
Smaller circle:
A = π80²
A = 6400π = 20096 ft²
Subtract the smaller from the larger of the areas:
66018.5 - 20096 = 45922.5 ft²
Divide this by 100 to solve for the amount of asphalt needed:
45922.5 / 100 = 459.225.
Since asphalt costs $90 dollars per 100 ft², then:
459.225 · 90 = $ 41330.25 ≈ $41330 rounded.