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 and then find the length of the arc corresponding to a central angle of 165°.
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Where r is the radius of the circle. In this case, the radius of the Ferris wheel is 80 feet, so the circumference is:
Circumference = 2π(80) = 160π feet
To find the length of the intercepted arc between the two cars, we can use the formula:
Arc Length = (Central Angle/360) * Circumference
Plugging in the values for the central angle of 165° and the circumference we just calculated, we get:
Arc Length = (165/360) * 160π ≈ (0.4583) * 160π ≈ 73.0 feet
Therefore, to the nearest tenth, the length of the intercepted arc between the two cars on the Ferris wheel is approximately 73.0 feet.
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165°.
To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?
1 answer