Question

Find the length of one arch of the cycloid:
\[x=r(\theta-\sin \theta)\]\[y=r(1-\cos \theta)\]

Answer 1

oh there is a super easy trick to this...

Answer 2

What?!

Answer 3

hold on I'm looking for it...

Answer 4

http://en.wikipedia.org/wiki/Cycloid#Arc_length

Answer 5

actually that wasn't what I had in mind, but using the regular parametric arc length formula gets the job done

Answer 6

oops, I gave away the answer, my bad :S

Answer 7

r is a constant here.isn't it?

Answer 8

It's been awhile since I've worked with polar equations. How do I find the limits of integration with them?

Answer 9

don't cycloids always have a constant radius by definition?