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 $$x^{2}/36$$ + $$y^{2}/81 = 1. $$Determine the equation of the two circles.

Accepted Answer

smaller circle: $$x^{2}$$ + $$y^{2} = 36$$, larger circle: $$x^{2}$$ + $$y^{2} = 81$$

Answer

smaller circle: $$x^{2}$$ + $$y^{2} = 6$$, larger circle: $$x^{2}$$ + $$y^{2} = 9$$

Answer

smaller circle: $$x^{2}$$ + $$y^{2} = 3$$, larger circle: $$x^{2}$$ + $$y^{2} = 4.5$$

Answer

smaller circle: $$x^{2}$$ + $$y^{2} = 72$$, larger circle: $$x^{2}$$ + $$y^{2} = 181$$

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