a merry-go-round has a radius of 20 ft has a duration per ride of 15 revolutions. How far does a person travel who rides on the merry-go-round? (use 3.14 for pi)
To find the distance traveled by a person riding on the merry-go-round, we need to calculate the circumference of the merry-go-round and multiply it by the number of revolutions.
Step 1: Calculate the circumference of the merry-go-round using the formula C = 2πr, where C is the circumference and r is the radius.
C = 2 * 3.14 * 20 ft
C = 125.6 ft (rounded to one decimal place)
Step 2: Multiply the circumference by the number of revolutions to find the total distance traveled.
Total distance = 125.6 ft * 15 revolutions
Total distance = 1884 ft
Therefore, a person who rides on the merry-go-round travels a total distance of 1884 feet.
To calculate the distance traveled by a person on a merry-go-round, you need to find the circumference of the circular path they travel. The circumference is the distance around the circle, which can be found using the formula:
Circumference = 2 * π * radius
Given that the radius of the merry-go-round is 20 ft and using the value of π as 3.14, you can substitute these values into the formula to find the circumference:
Circumference = 2 * 3.14 * 20 ft
Circumference = 125.6 ft
So, the circumference of the merry-go-round is 125.6 ft.
Next, we need to calculate the distance traveled by a person during 15 revolutions. Each revolution corresponds to one complete trip around the circumference. Therefore, the distance traveled by a person would be:
Distance = Circumference * number of revolutions
Distance = 125.6 ft/revolution * 15 revolutions
Distance = 1884 ft
Therefore, a person who rides on the merry-go-round would travel approximately 1884 feet.
C = πd = π2r
15 (π2r) = ?