the-blue-ellipse-shown-in-the-figure-is-defined-by-x2-36-y2-81-1-determine-the-e

Question

The blue ellipse shown in the figure is defined by x²/36 + y²/81 = 1. Determine the equation of the two circles.

Graph showing a blue ellipse and two concentric circles in green and brown.

Accepted Answer

smaller circle: x² + y² = 36, larger circle: x² + y² = 81

Answer

smaller circle: x² + y² = 6, larger circle: x² + y² = 9

Answer

smaller circle: x² + y² = 3, larger circle: x² + y² = 4.5

Answer

smaller circle: x² + y² = 72, larger circle: x² + y² = 181

The blue ellipse shown in the figure is defined by x2/36 + y2/81 = 1. Determine the equation of the two circles.