Area of sphere vs circle

No.12170560 ViewReplyOriginalReport
I read this famous book on relativity (Mister Tompkins).
It said that the surface area of a sphere (red) grows more slowly than the area of the biggest circle inside the area (green).

Somehow this was supposed to make me understand curved spacetime and gravity.
But wtf man, it doesn't make sense. Both areas are relative to r squared and grow at the same rate.

English is not my native language so explaining this is fuckin hard, hope you can decipher what I mean. Nobody in my country couldn't even answer this.