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The London Eye
Transcript of The London Eye
design by Dóri Sirály for Prezi
The London Eye
The diameter of the London Eye is 120 meters. The number of compartments on the London Eye is 32.
The London Eye has a circumference of:
C = 2(60)(3.14)
C = 120*3.14
C = 276.8
The area is:
radius = 60
A = (3.14)(60^2)
A = (3.14)(3,600)
A = 11,304
So, the area is 11,304 meters.
Measure of a central angle in degrees:
Supposing that the capsules are equally spaced, it would be 360/32, which is 11.25.
Measure of a central angle in radians: 0.2054083
Arc between two capsules: 11.775 meters
Area of a sector between two capsules: 0.19625
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?
I believe that the central angle would still be the same given that angles don't change when things are dilated. The arc of the replica would change though, because the radius would change.
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
Did you know that although there are only 32 capsules on the London Eye, for superstitious reasons, they re numbered 1-33?