## anonymous one year ago 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?

1. anonymous

7.91 feet 8.32 feet 10.99 feet 11.89 feet @welshfella

2. calculusxy

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

3. anonymous

4. calculusxy

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

5. anonymous

Ok so c=2pi(15)=94.24

6. calculusxy

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

7. anonymous

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

8. calculusxy

Yes

9. anonymous

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

10. anonymous

Do you mind if i ask a couple more questions?

11. calculusxy

I'll try to help

12. anonymous

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