You fill it by putting the circles in rows. 3 at the bottom then start by building up to perform a pyramid. So basically it just placing them in order by 321
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Circles are a stronger geometrical shape than a triangle. Circles distribute weight equally which makes it more stable. That is why pot holes are circles.
In the middle of the triangle
you draw a triangle formed by the centers of the two circles and use pythagoean theorem
you cannot because a triangle has verticles and a circle does not
The three vertices of the triangle uniquely determine a circle that circumscribes the triangle. The three sides of the triangle uniquely determine the circle that inscribes the triangle.