I can email an image to anyone that wants it, or you can draw it like
this...

I think this is what you want...
Draw a point and a line vertically upwards of length R.
Draw a large letter V (inverted cone) upwards from the point.
Draw an arc, radius R to cut the V.
Where the arc cuts the vertical draw a circle, radius r, to meet the edges
of V.
The edges of V are tangents.
Draw radii to these tangents, making 90 degree angles with them.
Mark r and R on the diagram.
Now r/R = sin(A), where A is half the angle at the bottom of the V.

Let's say there are n of these small circles, so that
n*2*A = 360   (degrees)
or
n*2*A = 2*pi   (radians)

You can decide n and find A and then find r/R (the angles are usually in
radians).
You can then decide R and find r (or other way around).

Each time through the loop for <=n the new angle measured from the vertical
in a clockwise direction is n*2*A.
The place to draw each circle is x=Rsin(n*2*A) and y=Rcos(n*2*A)

Without geometry, where would we be?

John

pi=2.142
A=pi/n    (in radians)
r=R*sin(A)
or R=r/sin(A)





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