I have a parametric equation
x= 24 sin (2πt) y= -24 cos(2πt)+35
This parametric equation is related to a diagram of a Ferris wheel, and is the equation of motion of a point A on the diagram which is attached. Ferris Wheel Diagram
I need to find the cartesian equation of the path of A, since the original equation given on the diagram is a parametric equation and find the distance between O and A when t=0.25.
I have found the cartesian equation and it is here, but I don't know how to find the distance between O and A on the diagram (A is one of the smaller double Ferris wheel). Do I assume that since O is stationary it is on the origin of the plane, and I just work out how far away from the origin is A at t=0.25, or am I just approaching this wrong? It has been a long time since I have done vectors, so I am sorry if I sound completely wrong. Has the distance formula got anything to do with it?
Then next I have to state the position vector of point B at time t minutes. I have no idea how to approach this, so this will be of additional help.
Correct me if I am wrong in my thinking somewhere.
Thanks