Question
I just did a project and got a bad grade on it, this is my work. She wrote this, It looks like you made a
I just did a project and got a bad grade on it, this is my work.
She wrote this, It looks like you made a calculation error with the radius measurement in your work. Take a look at the comments I left on your paper. You may revise your work and resubmit and I will regrade your project.
- ???Name of the ferris wheel: Singapore Flyer
- ???Diameter of the wheel (in meters): 150 meters
- ???Number of cars or compartments: 28
- ???Circumference of the wheel (in meters): 942.48 meters
Solution: Circumference = 2?r = 2? 150 = 942.48 meters
5. Area of the wheel (in meters): 70685.78 meters
Solution: Area =?r2 =? x (150)2 = 70685.78 meters
6. Measure of a central angle in degrees: 12.86 degrees
Solution: Central angle =
360/28 = 12.86 degrees
7. Measure of a central angle in radians: 0.2257 radians
Solution: Central angle = 2?/28 = 0.2257 radians
8. Arc length between twocars or compartments: 33.54 meters
Solution: Arc length = (Circumference/Number of compartments) = (942.48/28) = 33.54 meters
9. Area of a sector between two cars or compartments: 1515.72 meters
Solution: Area of a sector = (Central angle/360) x Area = (0.2257/360) x 70685.78 = 1515.72 meters
10. If a smaller replica of the ferris wheel was constructed, you can conclude that the central angle of the replica would be smaller than the central angle of the original wheel since the number of compartments would be greater. You can also conclude that the arc length of the replica would be smaller than the arc length of the original wheel since the circumference of the wheel would be smaller.
11. The equation for the ferris wheel is: x2 + y2 = 1502, and the image of the ferris wheel on the grid would look like a circle with a radius of 150 centered at (0, 0).
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