Question

Could someone help me out?


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

\[\frac{ s }{ \pi d }=\frac{ \theta }{ 180 }\]

s = arc length
d = diameter
Θ = angle

Answer 2

s is what you're trying to find.
they gave you d and Θ

Answer 3

alright so.. give me a sec

Answer 4

s/pi35 = 37/180

Answer 5

is that right?

Answer 6

yeah, you did it right, but I made a mistake in the equation I put up.
It should be \[\frac{ s }{ \pi d }=\frac{ \theta }{ 360 }\]

then

\[\frac{ s }{ 35\pi }=\frac{ 37 }{ 360 }\]

Answer 7

oh ok. so what would i do next?

Answer 8

solve for s by mulitplying both sides by 35π

Answer 9

would i first divide 37 by360?

Answer 10

yes you can. It generally doesn't matter whether you do multiplication or division first

Answer 11

37/360=.102 x 35 = 3.597

Answer 12

almost. Don't forget to multiply by the π.
You only mulitplied by 35

Answer 13

oh ok 3.597 x 3.14 = 11.29

Answer 14

witch is 11.30 so it would be B right?

Answer 15

yes

Answer 16

Thank you! have a great day!

Answer 17

you're welcome