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

Answer 1

@zepdrix @Michele_Laino @surjithayer

Answer 2

@TrojanPoem

Answer 3

\[S = \theta r\]

\[\theta = \frac{45 * pi}{180} , r = \frac{ 15 }{ 2 } = 7.5 ft\]

\[S = \5.89\]

Answer 4

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:
\[\huge \begin{gathered}
C = \pi d = 3.14 \cdot 15 = ...? \hfill \\
\hfill \\
L = \frac{{45 \cdot C}}{{360}} = ...?\quad \hfill \\
\end{gathered} \]