AFCT Arithmetic Reasoning Practice Test 2026 – Comprehensive Exam Prep

Question: 1 / 400

What is the area covered by a circular sprinkler if the diameter is 40ft?

1,256 sq ft

1,570.8 sq ft

To find the area covered by a circular sprinkler, we use the formula for the area of a circle, which is given by:

\[ \text{Area} = \pi r^2 \]

where $ r $ is the radius of the circle.

In this case, the diameter of the sprinkler is given as 40 feet. To find the radius, we divide the diameter by 2:

\[ r = \frac{diameter}{2} = \frac{40ft}{2} = 20ft \]

Now, we can substitute the radius into the area formula:

\[ \text{Area} = \pi (20ft)^2 \]

Calculating this, we first square the radius:

\[ (20ft)^2 = 400ft^2 \]

Then we multiply by $ \pi $:

\[ \text{Area} = \pi \times 400ft^2 \]

Using the approximate value of $ \pi $ (3.14), we can calculate the area:

\[ \text{Area} \approx 3.14 \times 400ft^2 \approx 1256ft^2 \]

However, for more precision, using a more accurate value for \( \

3,141.6 sq ft

1,700 sq ft

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