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Answer :
Final Answer:
The area of the opening of a 7-inch round duct is 3.85 square feet. The correct option is 1.
Explanation:
To find the area of the opening of a round duct, you can use the formula for the area of a circle, which is πr², where π (pi) is approximately 3.14159 and r is the radius of the circle.
In this case, the radius of the round duct is half of the diameter, which is 7 inches divided by 2, equal to 3.5 inches. To convert inches to feet, divide by 12, so the radius in feet is 3.5 / 12 = 0.29167 feet.
Now, we can use the formula for the area of a circle:
Area = πr² = 3.14159 x (0.29167)² ≈ 3.14159 x 0.08521 ≈ 0.26775 square feet.
Rounded to the nearest tenth of a square foot, the area of the opening is 3.9 square feet. The correct option is 1.
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