>>13609332>>13609349>A circle is not a sphere.Yes. A circle is a one dimensional object. Whereas a sphere is a two dimensional object. A plane is also a two dimensional object. A ball, being a sphere and all points interior to the sphere, is a a three dimensional object in three dimensional euclidean space.
https://lost-contact.mit.edu/afs/adrake.org/usr/rkh/Books/books/Introduction%20to%20Smooth%20Manifolds%20-%20J.%20Lee.pdfRead up. You both need to brush up on your geometry.