A Ferris wheel car moves from point C to point D on the circle shown below:

What is the arc length the car traveled, to the nearest hundredth?

a) 5.89 feet

b) 6.23 feet

c) 7.46 feet

d) 8.15 feet

Question

A Ferris wheel car moves from point C to point D on the circle shown below:

What is the arc length the car traveled, to the nearest hundredth?

a) 5.89 feet

b) 6.23 feet

c) 7.46 feet

d) 8.15 feet

ckenn · Answer

attachment

ckenn · Answer

@zepdrix @Michele_Laino @surjithayer

ckenn · Answer

@TrojanPoem

trojanpoem · Answer

$$S = \theta r$$

$$\theta  = \frac{45 * pi}{180} , r = \frac{ 15 }{ 2 } = 7.5 ft$$

$$S = \5.89$$

michele_laino · Answer

another method, is to solve this proportion:
$$\huge C:360 = L:45$$
where $C$ is the length of the circumference, and L is the requested length, so we have:
$$\huge  \begin{gathered}
  C = \pi d = 3.14 \cdot 15 = ...? \hfill \
   \hfill \
  L = \frac{{45 \cdot C}}{{360}} = ...?\quad  \hfill \ 
\end{gathered} $$