The Ferris wheel at the county fair is 30 feet tall. If a person rides the Ferris wheel around 4 times, how far has he traveled?
60 ft
120 ft
90.8 ft
376.8 ft
please answer as soon as possible
the wheel has a diameter of 30 ft
So, its circumference is 30π ft
That means that 4 trips around = 4*30π = 120π ft
To calculate how far the person has traveled on the Ferris wheel, you need to determine the circumference of the wheel and then multiply it by the number of times the person has ridden it. The formula for the circumference of a circle is C = πd, where C represents the circumference and d represents the diameter.
To find the diameter of the Ferris wheel, divide the height by π (approximately 3.14). The diameter is twice the radius, which is half of the height. In this case, the height of the Ferris wheel is 30 feet, so the radius is 30/2 = 15 feet.
Using the formula for circumference, C = πd, substitute d = 2r to get C = π(2r) = 2πr. Therefore, the circumference of the Ferris wheel is 2πr = 2π(15 ft) = 30π ft.
Since the person rides the Ferris wheel around 4 times, multiply the circumference by 4 to find the total distance traveled: 30π ft × 4 = 120π ft.
Since the question asks for a numerical answer, approximate π to 3.14 to get the answer in feet: 120 ft × 3.14 = 376.8 ft.
Therefore, the person has traveled approximately 376.8 feet on the Ferris wheel. The correct answer is option D.