A carnival ride is in the shape of a wheel. The wheel has 16 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars?

Question

anonymous · Answer

@dumbcow I don't know how to do this without the radius. Can you help?

dumbcow · Answer

you cant, i would just leave your answers in terms of "r"

dumbcow · Answer

well for central angle you dont need radius    ---> 360/16

anonymous · Answer

Okay. But can I do the measure of the arc with just the central angle?

dumbcow · Answer

actually you should use radians here sorry

---> 2pi/16

anonymous · Answer

To find the arc?

anonymous · Answer

@dumbcow  ?

dumbcow · Answer

arclength  = angle*radius

area = (angle/2pi) * pi*r^2

anonymous · Answer

I don't have the radius though...

dumbcow · Answer

i know thats why i said just say the radius is "r" and leave your answers in terms of r

anonymous · Answer

So to leave it in terms of the radius it would just be 22.5r for the arc length?

anonymous · Answer

And 11.25r^2 for the area?

dumbcow · Answer

sorry you have to use radians to find arc length

arc = (2pi/16) r = (pi/8)r

area = pi/16 r^2

anonymous · Answer

arc= .3925r
Area= .19625r^2

dumbcow · Answer

yeah depends on whether your teacher wants decimal answers otherwise you can leave it with the "pi"

anonymous · Answer

Sorry we had dinner guests. 
Thank you so much! You have been so helpful!