Imagine cutting a sphere into circles(the distance between the two circles is almost zero).

Then is it correct to say that the sum of the circumference of all the circles is the surface area of the sphere? (Please describe why not)

${S}_{sphere}=2\sum _{h=0}^{r}2\sqrt{{r}^{2}-{h}^{2}}\pi $ (Where $\sqrt{{r}^{2}-{h}^{2}}$ is radius in each circle with distance h to center, Also multiplied by 2 because it's sum of circles in semisphere)Thanks in advance.

Then is it correct to say that the sum of the circumference of all the circles is the surface area of the sphere? (Please describe why not)

${S}_{sphere}=2\sum _{h=0}^{r}2\sqrt{{r}^{2}-{h}^{2}}\pi $ (Where $\sqrt{{r}^{2}-{h}^{2}}$ is radius in each circle with distance h to center, Also multiplied by 2 because it's sum of circles in semisphere)Thanks in advance.