I need help with a math question
If a smaller replica of the Ferris wheel was constructed, wha...
Mathematics, 28.05.2020 20:07 nikkole11
I need help with a math question
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?
here are my calculations
1. Name of the Ferris wheel - The London Eye
2. Diameter of the wheel - 120m
3. Number of cars / compartments - 32
4. Circumference of the wheel - 2πr = 2π(60) = 376.99 ≈ 377m
5. Area of the wheel - πr^2 = π(60)^2 = 11,309.73 ≈ 11,310m^2
6. Measure of a central angle in degrees - 360 / 32 = 11.25 degrees
7. Measure of a central angle in radians - 2Ï€(x) / 360
2π(11.25) /360 = .1963495408 ≈ .20 radians
8. Arc length between two cars or compartments - 2Ï€r(x) / 360
2Ï€(60)(11.25) /360 = 11.78
9. Area of a sector between two cars or compartments - πr^2(x) / 360
Ï€(60^2)(11.25) / 360 = 353.43
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