Relationship between arc-length and angle.

R=slider([0,5])

p=slider([0,1])

T=2*pi*p

d=slider([0,0.1])

r=R

Set n=1 for non-animated use. Set T=2pi (p=1) for animated motion though a full circle.

vector(R*cos(n*T),R*sin(n*T))

0<theta<n*T,r<R

0<theta<n*T,R-d<r<R+d



Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

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