Question 1034719
Well, the center of the ellipse is the origin...that makes life easier...thus the two circles we are interested in are also centered on the origin...
If we put the ellipse in standard form, we get
{{{x^2/9 + y^2/4 = 1}}}
This tells us the semi-major axis is 3 and the semi-minor axis is 2.
These correspond to the radii of the inscribed and circumscribed circles.
Draw them and see for yourself.
Their equations are then
{{{x^2 + y^2 = 4}}}
and
{{{x^2 + y^2 = 9}}}