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.
<u>Question asked:</u>
What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.
<u>Solution:</u>
First of all we will find the radius of the carousel:-
Diameter = 32 feet
Radius, r = ![\frac{Diameter}{2} =\frac{32}{2} =16\ feet](https://tex.z-dn.net/?f=%5Cfrac%7BDiameter%7D%7B2%7D%20%3D%5Cfrac%7B32%7D%7B2%7D%20%3D16%5C%20feet)
Now, we will find distance covered by the carousel in one ride that means its circumference;
![Circumference\ of \ the \ circle=2\pi r](https://tex.z-dn.net/?f=Circumference%5C%20of%20%5C%20the%20%5C%20circle%3D2%5Cpi%20r)
![=2\times\frac{22}{7} \times16\\ \\ =\frac{704}{7} \\ \\ =100.571\ feet](https://tex.z-dn.net/?f=%3D2%5Ctimes%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes16%5C%5C%20%5C%5C%20%3D%5Cfrac%7B704%7D%7B7%7D%20%5C%5C%20%5C%5C%20%3D100.571%5C%20feet)
In 1 minute, number of revolution taken by carousel = 4.3
<u>As each ride last for 3 minutes:-</u>
In 3 minutes, number of revolution taken by carousel = 3
4.3 = 12.9
In 1 revolution, distance covered by carousel = 100.571 feet
In 12.9 revolution, distance covered by carousel = 100.571
12.9
= 1297.365 feet
Thus, the maximum distance riders travel in one full ride is 1297.37 feet.