To calculate the distance traveled by the circular hoop, we need to determine the circumference of the hoop and then multiply it by the number of revolutions made.
Given:
Diameter of the hoop = 30 cm
To find the circumference (C) of the hoop, we can use the formula C = π * d, where d is the diameter:
C = π * 30 cm
C ≈ 3.14 * 30 cm (Using π = 3.14)
C ≈ 94.2 cm
Now, we know that the hoop makes 80 revolutions. To find the distance traveled, we multiply the circumference by the total number of revolutions:
Distance traveled = C * Total revolutions
Distance traveled = 94.2 cm * 80 revolutions
Therefore, the distance traveled by the circular hoop is approximately 7536 cm (or 75.36 meters).