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?

Answer 2

A. 7.91 feet

B. 8.32 feet

C. 10.99 feet

D. 11.89 feet

Answer 3

set up a proportion with the ratio of the angle to 360 on one side, equalling the unknown arc length over 2pi*r

Answer 4

or you can use arc length = radius * angle in radians

Answer 5

angle's in degrees tho

Answer 6

radians = degrees * pi/180

Answer 7

proportion is easier don't bother messing with radians

Answer 8

well the above is also useful to know

Answer 9

How do I find the radius?

Answer 10

d you are given the diameter = 30 ft

Answer 11

Right

Answer 12

have you got the answer

Answer 13

How do I get the radius when I am given the diameter?

Answer 14

by prossi's method we have

42/ 360 = x / 2pi * 15

or using radians

x = 15 * 42 * pi/180

Answer 15

radius = half of the diameter

Answer 16

I got it, It's 10.99 feet

Answer 17

right

Answer 18

thank you :)

Answer 19

i think the radians method is slightly easier

Answer 20

Me too, that's the one I used

Answer 21

yw

Answer 22

all you need remember is that pi radians = 180 degrees

Answer 23

so to convert degrees to radians you multiply by pi/180

and for the reverse you multiply by 180/pi

Answer 24

Right