
Sphere Layout
Hi I'm new to this forum,tried to do a search but the wording is complicated.
Anyway I'm trying to find a formula or if there is a mathematical way
of finding this answer.
I have a bowl that is 36" in diameter. It is 2" deep at the center.
If I were to cut it into 8 sections(pies) and layed them flat the
long sides of the pies would have a curve to them.How do I find
that curve?Is there an equation that tells you the distance from the curved line on the flat to the straight line when in a sphere?How do I find the length
of the new curved line?Any help would be appreciated.I need to create
a bowl out of flat pieces of paper.Hope I made my question clear without
any diagrams.
Sil

I cannot visualize the problem.

How can I cut flat paper into triangles ,so the long sides of the
triangles meet when I lay the paper in a bowl.The bowl is 36" in
diameter and 2" deep in the center.Is there a way to find the radius
of the long sides of the triangle?Does the radius change if there
are 8 triangles or 10 or 12 to makeup the bowl. Similar to the shapes
of fabric to create a baseball cap, they are not straight sides of the
triangle.
Hope this hepls, Sil

You need to know calculus