Question

The area of an ellipse is twice that of a circle. The major diameter of the ellipse is twice that of the minor diameter.

Answer 1

Answer:

....and the question is????

Maybe you need to express the major and minor diameters of the ellipse in terms of the radius of the circle?

Let a be half the major diameter.  Let b be half the minor diameter.  Let r be the radius of the circle.

Given:  a = 2b

area of ellipse = 2 × area of circle

=> π a b = 2 × π r²

=> a b = 2 r²

=> ( 2b ) b = 2 r²

=> b² = r²

=> b = r   ( both are positive values )

=> a = 2b = 2r.

So the minor diameter is the same as the diameter of the circle.

The circle sits inside the ellipse, tangent to it on two sides.