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

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:

$\begin{gathered} L=\frac{\theta}{360}\times\pi d \\ \\ \frac{86\pi}{3}=\frac{\theta}{360}\times40\pi \\ \\ 86\pi\times360=3(40)\pi\times\theta \\ \\ \theta=\frac{30960\pi}{120\pi} \\ \\ \theta=258^o \end{gathered}$

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