Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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What area can a sprinkler cover that sprays water in a circular region with a radius of 20ft?

1,000 sq ft
1,256 sq ft
1,320 sq ft
1,570 sq ft

The correct answer is: 1,256 sq ft

To determine the area covered by a sprinkler that sprays water in a circular region, you can use the formula for the area of a circle, which is given by: Area = π * r² In this case, the radius (r) of the circular region is 20 feet. Plugging this value into the formula gives: Area = π * (20 ft)² Area = π * 400 ft² Area = 400π ft² Using the approximate value of π (3.14), we can compute: Area ≈ 400 * 3.14 ft² Area ≈ 1,256 ft² Therefore, the area that the sprinkler can cover is approximately 1,256 square feet. This makes the correct choice align with option B, confirming that the computation is accurate and reflects the area effectively.