Here we go ~
The general equation of ellipse is :
[ because it's a horizontal ellipse with centre at origin ]
so, let's equate given equation with the standard equation ~
se get :
- a² = 64 ; a = 8
- b² = 36 ; b = 6
As we know, length of minor axis is : 2b = 2 × 6 = 12 units
and, the smaller circle has diameter = 2b = 12 units
so, it's radius = 6 units ~
Now, let's write the equation of circle with origin as centre and radius = 6 units
[ h = 0, k = 0, since circle has centre at origin ]