You are applying a pesticide to a circular area with a 20-foot diameter. How many square feet is the area?

You are applying a pesticide to a circular area with a 20-foot diameter. How many square feet is the area?

• A. 314
• B. 400
• C. 250
• D. 3140

Answer: (B)

To calculate the area of a circular region, the formula used is A = πr², where A represents the area and r is the radius of the circle. Given that the diameter of the circular area is 20 feet, the radius would be half of the diameter. Therefore, the radius is 10 feet (20 feet / 2). Now, using the area formula, you can substitute the radius into that equation: A = π(10 feet)² A = π(100 square feet) A ≈ 3.14 * 100 A ≈ 314 square feet This calculation shows that the area of the circular region is approximately 314 square feet. Hence, while some might lean towards the option stating 400, the correct area calculation reveals that the actual area based on the provided measurements is indeed 314 square feet. This detail underscores the importance of using the correct formulas for area calculations and understanding the relationship between diameter and radius in circular measurements.

To calculate the area of a circular region, the formula used is A = πr², where A represents the area and r is the radius of the circle.

Given that the diameter of the circular area is 20 feet, the radius would be half of the diameter. Therefore, the radius is 10 feet (20 feet / 2).

Now, using the area formula, you can substitute the radius into that equation:

A = π(10 feet)²

A = π(100 square feet)

A ≈ 3.14 * 100

A ≈ 314 square feet

This calculation shows that the area of the circular region is approximately 314 square feet. Hence, while some might lean towards the option stating 400, the correct area calculation reveals that the actual area based on the provided measurements is indeed 314 square feet. This detail underscores the importance of using the correct formulas for area calculations and understanding the relationship between diameter and radius in circular measurements.