Geometry

Question Analysis

The main goal is to find the coordinates of point on a circle in the coordinate plane. We'll use the known center of the circle and the radius to figure out the position of relative to the center, based on coordinate - geometry principles.

Key Concept Explanation

In the coordinate plane, for a circle with center and radius , the distance from the center to any point on the circle is given by the distance formula , which comes from the Pythagorean theorem.

Step - by - Step Solution

1. Locate the center of the circle:

By observing the graph, the center of the circle has coordinates .

2. Determine the radius:

The radius . (by counting the grid units)

3. Find the - coordinate of point :

We know the - coordinate of is . The horizontal distance from the center to is

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