I've been stuck with trying to write the arc length formula: $y=\ -\sqrt{g^2-\left(x-g\right)^2}+g$ in polar coordinates in terms of r with respect to theta.
I've been trying all sorts of instances of completing the square but I keep getting different powers of r without being able to factor and/or keep onto one side.
(A recent realization I've gotten was just possibly trying to factor out only x's and y's the substituting them with their polar analogs.)
Help!!!
edit: g is just a constant