Final answer:
To calculate the number of revolutions a circular disk with a diameter of 4 feet will have completed after it has rolled 12 feet, divide the distance rolled by the circumference of the disk. The number of revolutions is approximately 0.955 revolutions.
Step-by-step explanation:
To calculate the number of revolutions a circular disk with a diameter of 4 feet will have completed after it has rolled 12 feet, we need to find the circumference of the disk and divide the distance rolled by it. The formula to calculate the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius is half the diameter, so r = 2 feet. Therefore, the circumference is C = 2π(2) = 4π feet. Now, we can divide the distance rolled, 12 feet, by the circumference, 4π feet, to find the number of revolutions: “number of revolutions” = distance rolled / circumference = 12 feet / (4π feet) = 3/π revolutions, which is approximately 0.955 rev.