If the arc length shown in blue is 32.5 inches, then to the nearest hundredth of a radian is _____.

Question

If the arc length shown in blue is 32.5 inches, then  to the nearest hundredth of a radian is _____.

anonymous · Answer

is there a radius or angle to the arc?

anonymous · Answer

http://courses.apexlearning.com/apps/AceWeb/launch2.do?enrollmentID=22733033&outlineID=238921432§ion=0&page=2

anonymous · Answer

Radius is 12 i believe.

anonymous · Answer

the link says i have to be loged in, BUT, 12 is all i needed, so

anonymous · Answer

$$s = r*\theta $$

where
s = arc lenght [32.5]
r = radius [12]
theta = angle [answer]   <- this is the answer you are looking for in radians

so just solve the arc lenght formula above for the angle theta, make sense?

anonymous · Answer

hint- you answer should be between 2 and 3 if you did it correctly

anonymous · Answer

I got around 2.70

anonymous · Answer

thats it!
just keep that arc length formula I gave you written down somewhere, you will probably have to use it in the future on another question!