MDARD Michigan Core Pesticide Applicator Practice Exam

You are applying pesticide to a circular area with a 20-ft diameter. What is the area?

1. 314 square feet

2. 250 square feet

3. 400 square feet

4. 3140 square feet

The correct answer is: 314 square feet

To calculate the area of a circular area, you can use the formula for the area of a circle, which is A = πr². In this case, the diameter of the circle is given as 20 feet, which means the radius (r) is half of that, or 10 feet. Substituting this value into the area formula gives: A = π(10 ft)² A = π(100 ft²) A ≈ 3.14 × 100 ft² A ≈ 314 ft² Therefore, the area of the circular section is approximately 314 square feet. This aligns perfectly with the choices, making it the correct answer. The other options represent different calculations or misunderstandings of the area calculation. For instance, the choice of 400 square feet may result from incorrectly using a different formula or failing to account for the circular dimensions properly. The choice of 250 square feet or 3140 square feet could stem from similar calculation errors or misinterpretation of the question's parameters.