Geometry

Question Analysis

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

Key Concept Explanation

In the coordinate plane, the center of a circle represents the mid - point from which all points on the circle are equidistant. It is denoted by an ordered pair , where  is the horizontal position and  is the vertical position relative to the origin .

Step - by - Step Solution

1. Determine the x - coordinate:

By observing the grid along the x - axis, we can see that the center of the circle aligns with the value . This is because it is 3 units to the left of the origin (where the x - values are negative on the left side).

2. Determine the y - coordinate:

Looking at the grid along the y - axis, the center of the circle aligns with

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