Constructing a circular shape with triangles/squares

[dex7491]

I'm trying to build what I suppose you could call an angular, hollow cylinder. Basically, use squares with triangles on their edges to make a series of angles that when pieced together, forms a hollow cylinder. Is there any sort of mathematical formula I cna use to determine the sizes of my squares and triangles? I have two planes, x and y, that form a cross which gives me a guide for the outer limits of the cylinder. Where do I go from here? Any help at all is much appreciated.

[Acera]

x^2+y^2=r^2
or
x=r*cos(alpha)
y=r*sin(alpha)
or
use a sheet of paper and a dividing circle

Select coordinates on the circle and fill the space between two circles with triangles and squares.

You have to build an eighth of a circle, the rest you can assemble with copy and paste.

Note: Squaring the circle is not possible ;-)

[Acera]

https://steamcommunity.com/sharedfiles/filedetails/?id=1439445166
Perfect shape with custom script and only the above formula was used.

[dex7491]

So, if x squared + y squared = r squared, basically I could build a diagonal out from the center, as long as the length matched... duh. now I feel like an idiot.