It can be, unless there are concentric circles.
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Center.
yes a diameter passes through the center of a circle
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
... center of the circle.
Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.