Applications Of Circles Discussion

Applications Of Circles Discussion

Step 1
A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are cars or compartments where people can sit or stand that are evenly spaced about the circumference of the circle. The wheel rotates slowly, taking passengers on a ride around the circumference of the circle.
Please select one of the following famous Ferris wheels to research:
• Singapore Flyer
• London Eye
• Star of Nanchang
You will need to find the diameter and number of compartments (or cars) for the one you chose in order to be able to complete the calculations section of the assignment. Once you have your information, move on to step 2.

Step 2

Complete the following tasks and calculations. You must show all work and steps to receive full credit.
1. Name of the Ferris wheel
2. Diameter of the wheel (in meters)
3. Number of cars or compartments
4. Circumference of the wheel (in meters)
5. Area of the wheel (in meters)
6. Measure of a central angle in degrees
7. Measure of a central angle in radians
8. Arc length between two cars or compartments
9. Area of a sector between two cars or compartments
Step 3
Answer the following questions. You must show all steps and provide any evidence needed in your solution to receive full credit.
10. If a smaller replica of the Ferris wheel was constructed, what conclusions could you draw about the central angle of the original wheel and replica? What conclusions could you draw about the arc length of the original Ferris wheel and replica?
11. Imagine the center of the Ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar.
Step 4
Submit the following to your instructor:
1. Your calculations and work for step 2
2. Your answers to the reflection questions for step 3
*Note: Please submit the written portion of this assignment using a word processing document or by copying and pasting into the assignment box.

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