Complete the following questions, show, and explain all work for each problem.

A Ferris wheel, called the Atlanta Skyview, recently opened in Centennial Olympic Park in the Atlanta, GA area. The diameter of this Atlanta attraction is 200 feet and has 42 gondolas evenly spaced out along the circle. Each sector starts and ends at the point at which the gondola is attached to the Ferris wheel circle.

1. Sketch the Atlanta Skyview Ferris wheel

2. Answer the following questions about this Ferris wheel. Be sure to show and explain all work for each problem.

a. Area of the wheel?

b. measure of the central angle in degrees

c. Measure of a central angle in radians

d. Arc length between two gondolas

e. Area of each sector.

3. In a paragraph, compare and contrast the Atlanta Skyview to the Ferris wheel that you chose in part A of this assignment.

4. A passenger must climb seven steps to a platform to enter the gondola. Each step is 7.5 inches. The Ferris wheel circle equation would be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the Ferris wheel.

5. Let us design a new Ferris wheel.

Sketch a new Ferris wheel. This new Ferris wheel must have an arc length measuring three 25 feet. What is your new Ferris wheel equation if the center must be at least 60 feet from the ground? Show/explain all work.

The Ferris Wheel chosen in part A is called the London Eye. Name of the Ferris wheel: London Eye. Diameter of the wheel (in meters): 120m. The number of cars or compartments: 32. Circumference of the wheel (in meters): 377m. Area of the wheel (in meters): 11,310m. The measure of a central angle in degrees (let the measure of a central angle in degrees be x): 11.25. The measure of a central angle in radians: 0.20 rad. Arc length between two cars or compartments: 11.78. Area of a sector between two cars or compartments: 353.43.