Research and Calculations (15 points)
Please select one of the following famous Ferris wheels to research. You will need to find the diameter and number of compartments (or cars) for the one you chose
Singapore Flyer
London Eye
Star of Nanchang
Report your research and complete the following calculation. Show all work for 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
Reflection (5 points)
Answer the following questions. You must show all steps and provide any evidence needed in your solution to receive full credit.
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?
Imagine the center of the Ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis.
Part A Write an equation of a circle for your Ferris wheel,
Insert Answer Here
Part B Sketch an image of what your Ferris wheel would look like on the grid.
Part C Now graph a circle that is similar to the Ferris Wheel on the same graph above
Part D Discuss the transformations needed to show that both circles on your graph are similar.
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