What is the cross-sectional area of a round flue with an 8-inch diameter?

What is the cross-sectional area of a round flue with an 8-inch diameter?

• A. 50 square inches
• B. 28 square inches
• C. 38 square inches
• D. 64 square inches

Answer: (A)

To determine the cross-sectional area of a round flue, you need to use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius of the circle. First, the diameter of the flue is given as 8 inches. The radius is half of the diameter, so in this case, the radius would be 8 inches / 2 = 4 inches. Next, substituting the radius into the area formula: A = π(4 inches)² A = π(16 square inches) A ≈ 3.14 × 16 A ≈ 50.24 square inches. Rounding this value gives us approximately 50 square inches, making it the correct answer. This calculation highlights the importance of accurately determining the radius and applying the area formula for circular shapes, as it is a fundamental aspect in various applications such as determining the dimensions in construction plans and ensuring adequate airflow in ventilation systems.

To determine the cross-sectional area of a round flue, you need to use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius of the circle.

First, the diameter of the flue is given as 8 inches. The radius is half of the diameter, so in this case, the radius would be 8 inches / 2 = 4 inches.

Next, substituting the radius into the area formula:

A = π(4 inches)²

A = π(16 square inches)

A ≈ 3.14 × 16

A ≈ 50.24 square inches.

Rounding this value gives us approximately 50 square inches, making it the correct answer. This calculation highlights the importance of accurately determining the radius and applying the area formula for circular shapes, as it is a fundamental aspect in various applications such as determining the dimensions in construction plans and ensuring adequate airflow in ventilation systems.