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9.04 Applications of Circles

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by

Hailey Cline

on 6 September 2014

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Transcript of 9.04 Applications of Circles

Reflection
Questions
1. I chose the London Eye
2. Diameter of wheel: 120 meters
3. Number of cars: 32
4. Circumference of the wheel: 377 meters
5. Area of the wheel: 11,304 meters
6. Measure of the central angle:11.25º
7. Measure of the central angle in radians:0.205
8. Arc length between 2 cars: 11.78 meters
9. Area of a sector between 2 cars: 0.196

graph
9.04 Applications of Circles
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?
If there was small Ferris wheel constructed as a lookalike to the Singapore flyer, the central angle don’t change just because they are smaller due to the radius. I would have to conclude that they'd have the same central angles and radius.
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.
(x-0)2+(y-0)2=60^2
*its upside down
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