help with geometry?

Question

how to find the position of the centers for 32 circles that form a larger circle of an arbitrary radius

Answer 1

Sorry I can't draw it here.
I understand the arrangement of the circles in a circular chain.
Let r = the radius of each small circle
Let R = the radius of the larger circle (given); use the distance
from the center of the larger circle to the centers of the
smaller circle.
Sin(360/24) = r / R

So, r = R * sin (360/64)

(note that the angle is in degrees)

So, to draw this, first draw the large circle with compass of radius R.
Intervals (chords) on the edge of the circle of lenth 2r will
mark the centers of the 32 circles.

Answer 2

32 circles can only form a circle if the 32 circles all have the same center and the same radius.

just think how is it possible that 32 circles can form a circle ? there will be angles in it ( unless they are all the same )