Geometry

Question Analysis

The main aim is to find the coordinates of point on a circle in the coordinate plane. We'll utilize the known center of the circle, its radius, and coordinate - system principles to precisely figure out the location of .

 

Key Concept Explanation

In the coordinate plane, points are represented as . For a point on a circle, the distance from the circle's center to that point equals the radius . This is described by the distance formula, stemming from the Pythagorean theorem: .

 

Step - by - Step Solution

1. Locate the center and find the radius:

By observing the graph, the center of the circle has coordinates . Counting grid units from the center to a point on the circle shows the radius .

The - coordinate of point is .

2. Apply the distance formula:

Substitute , , , and into

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