Question

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

Answer 1

What is the arc length the car traveled, to the nearest hundredth? (5 points)
Select one:
a. 2.18 feet
b. 4.31 feet
c. 5.84 feet
d. 6.63 feet

Answer 2

do u know about the equation
\[S = r \theta \]?

Answer 3

yes now i do

Answer 4

u can use and find the length of the arc..

Answer 5

but to use it the angle theta must be in radiants...do u know about the angles measured in radiants ? i mean not degrees

Answer 6

yes i do

Answer 7

so.. ur first step.
convert 38 degrees to radiants

Answer 8

hint:
\[\pi \ \ rad = 180^{0}\]\[1^{0} = \frac{ \pi }{ 180 }\]

Answer 9

so... 38 degrees will be ?

Answer 10

where do i plug 38 into?

Answer 11

\[38^{o} = \frac{ \pi }{ 180 }\times 38 \ rad \]
got it ?

Answer 12

i got it

Answer 13

so ...
now u have to find the radius r .... the question has given u the diameter..
diameter = 2 x radius

radius = ?

Answer 14

im not sure i tried to plug it in and a weird decimal came up

Answer 15

srry.. u mean the radius ? OR
did u find the radius and plug the whole set of values to S = r theta ?

Answer 16

im talking about the radius thing

Answer 17

the given diameter is 20 ft

the diameter equal two times the radius

so.. the radius = diameter /2

Answer 18

whats the diameter

Answer 19

ohhh duuhh...

Answer 20

so 20/2

Answer 21

radius =10

Answer 22

diameter is the chord that passes through the center

Answer 23

i know is the radius 10

Answer 24

yes

Answer 25

so whats the next step

Answer 26

now can u plug the values to the equation ?

Answer 27

\[S = r \ \ \theta\]

Answer 28

yes i can whats the equation

Answer 29

what is that 0 thing and what does S =

Answer 30

S = the length of the arc ( the distance from C to D )
\[\theta = \ the \ \angle \ what \ \ we \ just \ convert \ \ \to \ radiants \]

Answer 31

ok what is teh equation supposed to look like

Answer 32

what do mean by "what is the equation supposed to look like " ?

Answer 33

\[S = r \ \theta \]is the equation ..
i explained u the terms..

Answer 34

i know i mean when we plugged in everything

Answer 35

can we cancel out anything right now

Answer 36

\[S = \frac{ \pi }{ 180}\times 38 \times 10\]

Answer 37

yes its d

Answer 38

AM I CORRECT!!":)

Answer 39

yep exactly !

Answer 40

thanks for ecplaining so much can i have a medal pleeease:)

Answer 41

lol... u r welcome! :)