Question 556821: I need help solving for the polar equation of an ellipse when they give you the vertices (8,pi/2) & (16,3pi/2).
what I'm having trouble with is solving for the center of the ellipse,it would be a great help if you could explain that.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! as far as i can tell, your vertices are at (0,8) and (0,-16).
that makes the center of the ellipse halfway between them which would be at the point (0,-4).
a polar coordinate is of the form (r,T) where r is the length of the line segment and T is the angle.
pi/2 = 90 degrees which puts one of the points at (0,8).
3pi/2 = 270 degrees which puts the other point at (0,-16).
the point halfway between (0,8) and (0,-16) is the point (0,-4).
that's what i think anyway.
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