Any Closed shape have a meeting point
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a circle base with the sides rising up in a circular fashion meeting at one point
The point from which the circle is drawn IS the center.
It is the center of the circle
The point where all three angle bisectors meet is the centre of the incircle - the circle which touches all the sides of the triangle (alternatively described as the circle for which the sides of the triangle are tangents).
A circle has a round shape in which every point on the circle is the same distance from one point called "the center". The center of a circle is not on the circle.