Is Calculating Radian Measure from Arc Length and Radius Correct?

[jayjohn28]

A central angle theta is subtended by an arc 20cm long on a circle of radius 2m, find the radian measure of theta.

i used the formula S=r(theta), and just plugged in what was given.

20=200(theta), from there i got theta= 20/200, which gives me an answer of .1. I thought i did this correctly but my answer seems kind of weird. Did i do this correctly?

 

[rock.freak667]

A central angle theta is subtended by an arc 20cm long on a circle of radius 2m, find the radian measure of theta.

i used the formula S=r(theta), and just plugged in what was given.

20=200(theta), from there i got theta= 20/200, which gives me an answer of .1. I thought i did this correctly but my answer seems kind of weird. Did i do this correctly?

that should be correct. 200cm in relation to 2ocm arc is small