## anonymous one year ago A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

1. anonymous

@zepdrix Could you help?

2. anonymous

@nincompoop

3. anonymous

@Hero

4. Hero

First step: Draw a picture of the situation.

5. anonymous

Okayyy...

6. anonymous

Like this?

7. anonymous

well my picture wont attach :/

8. anonymous

Can you still help @Hero

9. Hero

It's late here. Let's do it tomorrow.

10. anonymous

Okay , i have to get this done soon , so i"ll look for other help but that you anyway!!

11. Hero

I'll help you out with one thing. You can take 360 and divide it by 24 to get the central angle

12. anonymous

central angle is 15

13. anonymous

@jim_thompson5910 Helpppp??

14. pooja195

Central angel is not 15... :/ how did you get that?

15. anonymous

360 / 24?

16. anonymous

There are 24 cars ... the radius is 15 and the wheel is 360

17. pooja195

Try again rember i said that there are 2 cars ignore the 24 for right now

18. pooja195

360/2=?

19. anonymous

oh my bad okay so 360/2=180

20. Hero

First step: Draw a picture of the situation.

21. pooja195

well done :) so with 20 cars, you'd have 360/20 = 18 degrees as the central angle (2 adjacent cars)

22. pooja195

23. Hero

I was about to fall asleep, but I saw you were helping so I left one eye open.

24. anonymous

so since my question asks for 24 cars it would be 360/24=15 Central Angle

25. pooja195

Not quite you need to find the circumference of the whole circle.

26. anonymous

How do i figure that out ?

27. pooja195

And you get 18 degrees rember $$\color{#0cbb34}{\text{Originally Posted by}}$$ @pooja195 well done :) so with 20 cars, you'd have 360/20 = 18 degrees as the central angle (2 adjacent cars) $$\color{#0cbb34}{\text{End of Quote}}$$ ^that and use the formula C = 2*pi*r<---to find circumference

28. Hero

Explain how you're going to use the circumference to find the central angle.

29. anonymous

94.245

30. pooja195

central angle is 15 <---thats right ok wait i mixed up the numbers >.< You need to find the circumference in order to get the arc length right? So first find the circumference... C = 2*pi*r r=24 (as given in the question)

31. anonymous

No in the question they say radius is 15 and there are 24 cars

32. pooja195

central angle is 15 <---thats right ok wait i mixed up the numbers >.< You need to find the circumference in order to get the arc length right? So first find the circumference... C = 2*pi*r ***r= 15(as given in the question)

33. anonymous

Okay, so the C = 94.245

34. pooja195

arc length = center angle/ 360 * pi * diameter = 15/360 * 3.1415 * (15 * 2) here I multiplied radius by 2 to get the diameter arc length = 3.93 ft Last part: Area of a Sector =theata/ 360 * pi * r^2 =15/360 * 3.1415 * (15^2) Area = 29.45 ft^2 Source: http://openstudy.com/study#/updates/5378cee8e4b0e54307956527

35. anonymous

Thank you, you have helped a lot!

36. pooja195

;)

37. pooja195