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.

- anonymous

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- anonymous

@zepdrix Could you help?

- anonymous

@nincompoop

- anonymous

@Hero

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## More answers

- Hero

First step: Draw a picture of the situation.

- anonymous

Okayyy...

- anonymous

Like this?

- anonymous

well my picture wont attach :/

- anonymous

Can you still help @Hero

- Hero

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

- anonymous

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

- Hero

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

- anonymous

central angle is 15

- anonymous

@jim_thompson5910 Helpppp??

- pooja195

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

- anonymous

360 / 24?

- anonymous

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

- pooja195

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

- pooja195

360/2=?

- anonymous

oh my bad okay so 360/2=180

- Hero

First step: Draw a picture of the situation.

- pooja195

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

- pooja195

@Hero seems to want to help he can help you :)

- Hero

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

- anonymous

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

- pooja195

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

- anonymous

How do i figure that out ?

- 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

- Hero

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

- anonymous

94.245

- 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)

- anonymous

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

- 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)

- anonymous

Okay, so the C = 94.245

- 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

- anonymous

Thank you, you have helped a lot!

- pooja195

;)

- pooja195

thank hero instead :-)

- anonymous

Thank you both!

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