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?

Answer 1

To find the length of the intercepted arc between the two cars, we can use the formula:

Arc length = (Central angle / 360) x 2πr

Where:
Central angle = 165º
Radius (r) = 80 feet

Plugging in the values, we get:

Arc length = (165 / 360) x 2π(80)
Arc length = (0.4583) x 2π(80)
Arc length = 0.4583 x 160π
Arc length ≈ 228.9 feet

Therefore, the length of the intercepted arc between the two cars on the Ferris wheel is approximately 228.9 feet.