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.

Question

anonymous · Answer

@zepdrix Could you help?

anonymous · Answer

@nincompoop

anonymous · Answer

@Hero

hero · Answer

First step: Draw a picture of the situation.

anonymous · Answer

Okayyy...

anonymous · Answer

Like this?

anonymous · Answer

well my picture wont attach :/

anonymous · Answer

Can you still help @Hero

hero · Answer

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

anonymous · Answer

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

hero · Answer

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

anonymous · Answer

central angle is 15

anonymous · Answer

@jim_thompson5910 Helpppp??

pooja195 · Answer

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

anonymous · Answer

360 / 24?

anonymous · Answer

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

pooja195 · Answer

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

pooja195 · Answer

360/2=?

anonymous · Answer

oh my bad okay so 360/2=180

hero · Answer

First step: Draw a picture of the situation.

pooja195 · Answer

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

pooja195 · Answer

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

hero · Answer

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

anonymous · Answer

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

pooja195 · Answer

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

anonymous · Answer

How do i figure that out ?

pooja195 · Answer

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 · Answer

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

anonymous · Answer

94.245

pooja195 · Answer

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 · Answer

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

pooja195 · Answer

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 · Answer

Okay, so the C = 94.245

pooja195 · Answer

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 · Answer

Thank you, you have helped a lot!

pooja195 · Answer

;)

pooja195 · Answer

thank hero instead :-)

anonymous · Answer

Thank you both!