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?

8.30 feet
11.30 feet
12.41 feet
13.15 feet

Answer 1

is d the length of the diameter?

Answer 2

radius

Answer 3

@knov @rebeccaxhawaii

Answer 4

ok!
then we can write this proportion:
\[2\pi d:360^\circ = CD:37^\circ \]

Answer 5

using the fundamental property of proportion, we get:
\[CD = \frac{{\left( {2\pi d} \right) \times 37}}{{360}} = \frac{{\left( {2 \times 3.14 \times 25} \right) \times 37}}{{360}} = ...?\]

Answer 6

sorry I have made a typo:
\[CD = \frac{{\left( {2\pi d} \right) \times 37}}{{360}} = \frac{{\left( {2 \times 3.14 \times 35} \right) \times 37}}{{360}} = ...?\]
nevertheless I think that \(d\) is the diameter

Answer 7

?

Answer 8

if I consider \(d\) as the dimeter, then the radius is \(r=35/2=17.5\)f the arc CD, is:
\[CD = \frac{{\left( {2\pi d} \right) \times 37}}{{360}} = \frac{{\left( {2 \times 3.14 \times 17.5} \right) \times 37}}{{360}} = ...?\]

Answer 9

22.5905555555....

Answer 10

now, you have to divide such result by 2, what do you get?

Answer 11

11.29527777...

Answer 12

that's right!
\[CD = \frac{{\left( {2\pi r} \right) \times 37}}{{360}} = \frac{{\left( {2 \times 3.14 \times 17.5} \right) \times 37}}{{360}} = 11.30\]

Answer 13

thanks

Answer 14

:)