Geometry

Question Analysis

The main focus is on determining the coordinates of the center of a circle in the coordinate plane.

Key Concept Explanation

In the coordinate plane, the center of a circle is a point that is equidistant from all points on the circle. It is represented by an ordered pair , where  is the horizontal coordinate and  is the vertical coordinate relative to the origin .

Step - by - Step Solution

1. Locate the center on the x - axis:

By observing the grid lines on the x - axis, we can see that the center of the circle lies directly above .

2. Locate the center on the y - axis:

Looking at the grid lines on the y - axis, the center of the circle lies on

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