the focus, or centre. focus is more widely used
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The distance from a circle to its center (the dot in the middle) is called 'the radius'. The distance from a circle to a point opposite is called 'the diameter'. The diameter is twice the length of the radius.
A dot in the middle of a circle can be called a couple things depending on the situation. For example, it could be the circle's center or a bulls-eye.
The line connecting the points is called a chord; the part of the perimeter of the circle enclosed is called an arc; the area between an arc and the chord is called a circular segment.
arc
Diameter: A straight line dividing the circle equally Circumference: The distance around the circle Radius: The middle of a circle reaching to one point of the circle