A metal pole connects a horse's saddle to another pole in the middle of the corral. This setup allows the horse to safely walk in circles around the pole in the center. As the house walks, a circle begins to form on the ground. If the rod is 2.5 yards long, what is the circumference of the circle on the ground? (Use 3.14 for π)
A 7.85 yards
B 15.7 yards
C 19.625 yards
d 39.25 yards
The length of the metal pole represents the radius of the circle on the ground. The formula for calculating the circumference (C) of a circle is C = 2πr.
Given that the radius (r) is 2.5 yards and using π = 3.14, we can plug these values into the formula:
C = 2 * 3.14 * 2.5
C = 6.28 * 2.5
C = 15.7 yards
Therefore, the circumference of the circle on the ground is 15.7 yards. The correct answer is B.