As for the arclength, the general formula, given that x(t) and y(t) are functions of the parameter t, isAnd how do i find the length ?
Here, since this is given in terms of r and so you need and as well as the fact that . That is, and .
The derivatives messy but the formula reduces nicely (since ) to
which is easy to integrate:
to find the arclength between and the startpunkt, evaluate that at the two points and subtract:
set that equal to 3000 and solve for .