Question

Type the correct answer in the box. Use numerals instead of words.Rob and his brother are riding in the same car on a Ferris wheel which has a diameter of 40 feet. Once the Ferris wheel starts, theytravel a distance of 86/3 pi feet before the ride stops to let more people on. What is the measure of the associated central angle for the arc they traveled?

Answer 1

Answer:

The measur

Step-by-step explanation:

Diameter, d = 40 ft

Length of the arc, L = 86π/3 ft

The central angle for the arc traveled, θ = ?

The length of an arc is given by the formula:

`\begin{gathered} L=(\theta)/(360)*\pi d \\ \\ (86\pi)/(3)=(\theta)/(360)*40\pi \\ \\ 86\pi*360=3(40)\pi*\theta \\ \\ \theta=(30960\pi)/(120\pi) \\ \\ \theta=258^o \end{gathered}`

Therefore, the measure of the associated central angle = 258°