Math

7.03 Activity Toolbox

In this activity, you are going to explore the Texas Star ferris wheel in Dallas, TX. We have provided the diameter and number of capsules below to get you started. Complete the following tasks and calculations. You must show all work and steps to receive full credit.

Diameter: 212 feet

Number of compartments: 44

*Part 1: Calculations

What to find: Show the steps:

1. Circumference of the wheel (in feet)

2. Area of the wheel (in feet)

3. Measure of a Central angle in degrees

4. Arc length between two cars or compartments

5. Area of a sector between two cars or

compartments

*Part 2: Reflection

6. If a smaller replica of the Texas Star 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?

7. Imagine the center of the Texas Star 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 the Texas Star ferris wheel.

Part B : Sketch an image of your equation on the graph provided or insert your own graph. ( You can graph your equation at www.desmos.com and then take a screenshot to submit. Help video for desmos )

Rubric for your grade: Calculations (15 pts)- All work is submitted and all calculations are correct. Reflection Questions (5 pts)- All questions were answered and all had well-thought-out, descriptive, and knowledgeable responses.