Final Answer:
The center of the circle shown below is point C.
Step-by-step explanation:
In a circle, the center is the point equidistant from all points on the circumference. To find the center of a circle, we can use the midpoint formula if we have the coordinates of two points on the circle.
In this case, if we have the coordinates of points A and B on the circumference, we can find the midpoint of line AB to determine the center of the circle. The midpoint formula is given by ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively.
Once we have calculated the coordinates of the midpoint using this formula, we can identify it as the center of the circle. Therefore, by applying this method to the given circle, we can determine that point C is indeed the center.