what is the radius of greatest circle inscribed in ellipsoid having length of major axis in between a

Question

what is the radius of greatest circle inscribed in ellipsoid having length of major axis in  between a<b<c?

mjdennis · Answer

ellipse or 'ellipsoid'?  Do you have some sort of picture?

amisy · Answer

it is ellipsoid

mjdennis · Answer

Your question is put together poorly.  The part about "having length of major axis in between a<b<c?" is very confusing.  Either you have left something out, or miscopied something, or you got a poor question.

There are people out here who might want to help you, if you make the job straightforward for them.  But right now we just have a mystery to solve before we can even help.

Attached is a picture of an ellipsoid.  It may be the one you were given.  'a' is called the semi-major axis, because it is one-half of your longest axis.  So you cannot have a "length of major axis" in between anything.

That said, the largest circle you could fit inside (inscribe) in an ellipsoid would be the smallest axis of the smallest ellipse:

mjdennis · Answer

|dw:1465736084222:dw|

mathmate · Answer

If we add a side view:
|dw:1465766152478:dw|
Note the question asks for "radius".