AFCT Arithmetic Reasoning Practice Test 2026 – Comprehensive Exam Prep

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