Get ready for the CWEA Collections Grade 2 Journey/Analyst Test. Study with multiple choice questions and detailed explanations to prepare effectively for the exam!

Multiple Choice

What is the area of an 8 inch diameter pipe in square feet?

To find the area of an 8-inch diameter pipe in square feet, you first 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. First, convert the diameter into the radius. The radius is half of the diameter; thus, for an 8-inch pipe, the radius is 8 inches / 2 = 4 inches. Next, convert the radius into feet since you want the area in square feet. There are 12 inches in a foot, therefore 4 inches is equal to 4/12 feet, which simplifies to 1/3 feet. Now calculate the area using the radius in feet: A = π(1/3)² A = π(1/9) A ≈ 3.14/9 A ≈ 0.349 square feet Therefore, the area of an 8-inch diameter pipe is approximately 0.349 square feet, which is why this answer is correct. Using π (approximately 3.14) and the correct radius conversion ensures that the calculation aligns with the metric system as required in the problem.

To find the area of an 8-inch diameter pipe in square feet, you first 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.

First, convert the diameter into the radius. The radius is half of the diameter; thus, for an 8-inch pipe, the radius is 8 inches / 2 = 4 inches.

Next, convert the radius into feet since you want the area in square feet. There are 12 inches in a foot, therefore 4 inches is equal to 4/12 feet, which simplifies to 1/3 feet.

Now calculate the area using the radius in feet:

A = π(1/3)²

A = π(1/9)

A ≈ 3.14/9

A ≈ 0.349 square feet

Therefore, the area of an 8-inch diameter pipe is approximately 0.349 square feet, which is why this answer is correct. Using π (approximately 3.14) and the correct radius conversion ensures that the calculation aligns with the metric system as required in the problem.