Question

The perimeter of a circular field is 500 feet. Which of the following is closest to the radius of the field, in feet? (Note: π ≈ 3.14)

Option 1: 10
Option 2: 50
Option 3: 80
Option 4: 160
Option 5: 250

Answer 1

The radius of the circular field is closest to 80 feet.

Step-by-step explanation:

To find the radius of the circular field, we need to use the formula for the perimeter of a circle, which is given by 2πr, where r is the radius. The problem tells us that the perimeter is 500 feet, so we can set up the equation 2πr = 500. We can approximate π as 3.14. Solving for r, we get r ≈ 500 / (2*3.14) ≈ 79.62 feet. The option closest to this value is Option 3: 80 feet.