James uses a measuring wheel to find the length of a cross-country race course he holds the handle and rolls the wheel along the course.The wheel has a radius of 1 foot and it turns 2,000 times from the beginning to the end of the race course, how long is the course?Explain your answer and show your calculations. use 3.14 for pi
C = 2πr
Calculate circumference and multiply by 2000.
318.47
U would take 3.14 times 2 = 6.28 then take the 2000 and times it by 6.28 = do ur own work on this one.
12560
To find the length of the course, we need to calculate the distance covered by the measuring wheel as it rolls along the course.
The formula for the circumference of a circle is given by:
C = 2πr
Where:
C = Circumference
π = Pi (approximately 3.14)
r = Radius
In this case, the radius of the wheel is 1 foot. Using the formula, we can determine the circumference of the wheel:
C = 2 * 3.14 * 1
C = 6.28 feet
Thus, for each full turn of the measuring wheel, it covers a distance of 6.28 feet.
Given that the wheel turns 2,000 times from the beginning to the end of the race course, we can multiply the distance covered per turn by the total number of turns to find the length of the course:
Length of course = Distance per turn * Total number of turns
Length of course = 6.28 feet * 2,000
Length of course = 12,560 feet
Therefore, the length of the cross-country race course is 12,560 feet.