Respuesta :
Answer:
1297.37 feet.
Step-by-step explanation:
Given:
The carousel at a local theme park has a diameter of 32 feet.
Each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute.
Question asked:
What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.
Solution:
First of all we will find the radius of the carousel:-
Diameter = 32 feet
Radius, r = [tex]\frac{Diameter}{2} =\frac{32}{2} =16\ feet[/tex]
Now, we will find distance covered by the carousel in one ride that means its circumference;
[tex]Circumference\ of \ the \ circle=2\pi r[/tex]
[tex]=2\times\frac{22}{7} \times16\\ \\ =\frac{704}{7} \\ \\ =100.571\ feet[/tex]
In 1 minute, number of revolution taken by carousel = 4.3
As each ride last for 3 minutes:-
In 3 minutes, number of revolution taken by carousel = 3 [tex]\times[/tex] 4.3 = 12.9
In 1 revolution, distance covered by carousel = 100.571 feet
In 12.9 revolution, distance covered by carousel = 100.571 [tex]\times[/tex] 12.9
= 1297.365 feet
Thus, the maximum distance riders travel in one full ride is 1297.37 feet.
