To find the length of the intercepted arc between the two cars on the Ferris wheel, we first need to calculate the circumference of the Ferris wheel.
The circumference of a circle can be calculated using the formula:
C = 2πr
Given that the radius of the Ferris wheel is 80 feet, we can calculate the circumference as follows:
C = 2π(80)
C = 160π ≈ 502.7 feet
Next, we need to calculate the central angle corresponding to the intercepted arc of 165º.
The central angle in radians can be calculated using the formula:
θ = (π/180) * α
Where θ is the angle in radians and α is the angle in degrees.
θ = (π/180) * 165
θ ≈ 2.88 radians
Finally, we can calculate the length of the intercepted arc using the formula:
Arc Length = θ * r
Substitute the values of θ and r into the formula:
Arc Length = 2.88 * 80
Arc Length = 230.4 feet
So, to the nearest tenth, the length of the intercepted arc between the two cars on the Ferris wheel is approximately 230.4 feet.
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?...
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