Flat surface to curved surface

[anilswipe]

Hello everybody,

Suppose I take a paper of say surface area A.

Then I would somehow (Do what it takes to do it; cut, fold whatever but no overlapping.) make an ideally and theoretically, biggest possible, perfect sphere out of it. Let's say the surface area of this sphere is A'.

Now how much is the difference between the surface area of the two?

Is there a general formula to find this?

In lay man's terms:
Suppose I take a plane paper and convert it into a sphere without overlapping, how much paper will be leftover? What is the generalized mathematical formula, if there is one, to find the difference between the surface areas of the two?

Thank you.

PS: Though I have chosen the suffix 'Intermediate', (assuming, possibly wrongly, that there may not be High school grade answers to this) I would gladly invite Basic High school grade answers if possible, to keep things simpler and I would invite higher grade answers, if absolutely necessary.

 

[PeroK]

You can't make a sphere from a flat piece of paper. For the same reason you can't flatten out a spherical surface.

That said, if you cut the paper up into small very pieces and stuck them all together, you could get an approximate sphere of the same total area.

 

[anilswipe]

That said, if you cut the paper up into small very pieces and stuck them all together, you could get an approximate sphere of the same total area.

I get it, but I suppose , that is not what I want to do and which also means that I have not been able to put my thought across. I apologize for that and would edit the post to that effect. Thanks for the reply.