I have this function : r(theta) = sec[t(theta)] = sec * (theta - (Pi/2) * (2/Pi *(theta + Pi/4))).

Since this function is in terms of (theta,r(theta)) ... how would I graph this in terms of Cartesian Co-ordinates instead of Polar ? 

For this assignment ... I have to basically find the right 'road' and 'wheel' and then animate my findings. 

Problem is I am having a hard time understanding my professor's derivations of equations to find these roads and wheels. 

Here is the PDF for the assignment : square_wheel.pdf

All help is appreciated.

Thanks.