If ...
the square of (the x-coordinate of the point minus the x-coordinate of the center of the circle)
added to
the square of (the y-coordinate of the point minus the y-coordinate of the center of the circle)
is equal to
the square of the circle's radius,
then the point is on the circle.
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2,0
There are infinitely many points. One of these is (10, 0).
There are infinitely many such points. One of them is: (2,236, 4.291)
The point from which the circle is drawn IS the center.
It is the center of the circle