North Carolina Pesticide Application Practice Test

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How do you calculate the area of a circular zone with a 20-foot diameter for spraying pesticides?

  1. Using the formula Length x Width

  2. Using the formula Radius x Radius x 3.14

  3. Using the formula Base x Height/2

  4. Using the formula Diameter x 3.14

The correct answer is: Using the formula Radius x Radius x 3.14

To calculate the area of a circular zone, the correct approach involves using the formula related to the radius of the circle based on its diameter. The area of a circle is determined using the formula A = πr², where "r" represents the radius of the circle. Given that the diameter is 20 feet, the radius would be half of that, which is 10 feet. In the provided option, using the formula Radius x Radius x 3.14 numerically reflects this process because it asks to multiply the radius by itself (which gives radius squared) and then multiply by π (approximated as 3.14). Therefore, this choice correctly leads to calculating the area as A = 3.14 x (10 feet)², which equals 314 square feet. The other options do not correctly apply the formula for the area of a circle. The Length x Width formula pertains to rectangular areas, the Base x Height/2 formula is for triangles, and using Diameter x 3.14 inaccurately represents the area calculation, as it mistakenly suggests using the diameter directly in place of the radius in the circular area formula.