Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

How much water does a sprinkler with a radius of 10ft spray if the area covered is calculated?

1. 314 sq ft

2. 500 sq ft

3. 785 sq ft

4. 1,000 sq ft

The correct answer is: 785 sq ft

To determine how much area a sprinkler with a radius of 10 feet sprays, you can use the formula for the area of a circle, which is given as: Area = π * radius² In this case, the radius is 10 feet. Plugging this value into the formula: Area = π * (10 ft)² Area = π * 100 ft² Area = 100π ft² Using the approximate value of π (3.14), the area would then be: Area ≈ 100 * 3.14 ft² Area ≈ 314 ft² However, the exact representation uses the π symbol, which can also be calculated using its more precise value (like 3.14159) for higher accuracy. Calculating with this gives: Area ≈ 100 * 3.14159 ft² Area ≈ 314.159 ft² This means that rounded to a couple of decimal points, we still reach around 314 square feet. The correct answer in the list aligns with this calculation, demonstrating that the area covered by the sprinkler is indeed about 314 square feet, suggesting that the choice made reflects an understanding of the area calculation for a circular coverage