Determine if an ellipse is inside a disk if all four vertices are in the disk.Given a circle of radius R and an ellipse. If all four vertices of the ellipse are contained within the circle, then is the entire ellipse contained within the circle.Note: points of the ellipse can be on the circle (namely the vertices)

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Steinherrjm · Accepted Answer

Step 1Having all four vertices in the circle does not mean that the whole ellipse will be in the circle. One specific counterexample would be       3    2        x          2        +  4            (      y      −              1        2            )              2        =  1 whose vertices lie inside the unit circle but parts of the ellipse lie outside.Step 2Even a circle can work:   4            (      x      −              2        5            )        2    +  4            (      y      −              2        5            )              2        =  1

Determine if an ellipse is inside a disk if all four vertices are in the disk. Given a circle of radius R and an ellipse. If all four vertices of the ellipse are contained within the circle, then is the entire ellipse contained within the circle.

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