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

Circle A is shown with a central angle marked 42 degrees and the diameter marked 30 feet.

What is the arc length the car traveled, to the nearest hundredth?

Question

A Ferris wheel car moves from point C to point D on the circle shown below:

Circle A is shown with a central angle marked 42 degrees and the diameter marked 30 feet.

What is the arc length the car traveled, to the nearest hundredth?

anonymous · Answer

7.91 feet
 8.32 feet
 10.99 feet
 11.89 feet
@welshfella

calculusxy · Answer

Arc Length Formula: 

$$\frac{ central \angle }{ 360  degrees} \times circumference $$

anonymous · Answer

attachment

calculusxy · Answer

To find the circumference:
$$C = 2\pi r$$

anonymous · Answer

Ok so c=2pi(15)=94.24

calculusxy · Answer

Yes then use that with the 
$$\frac{ central \angle }{ 360 degrees }$$

anonymous · Answer

so $$\frac{ 42 }{ 360 }$$ x 94.24?

calculusxy · Answer

Yes

anonymous · Answer

so that would be 10.99 which is the third answer choice! thanks so much!!

anonymous · Answer

Do you mind if i ask a couple more questions?

calculusxy · Answer

I'll try to help

anonymous · Answer

ok i'll set it up as a new question so i can medal u again