Geometry

Question Analysis

The main task is to determine the centroid of the circle. For a circle, the centroid is its center point, which is equidistant from all points on the circle. We rely on observing the circle's position and symmetry on the coordinate grid to find this center.

Key Concept Explanation

The centroid of a circle is its geometric center. By definition, the radius is the fixed distance from the center to any point on the circle. In a coordinate system, we identify the center by looking at how the circle is symmetrically arranged around a particular point with respect to the and axes.

Step - by - Step Solution

1. Visually inspect the circle:

Examine the circle's placement on the coordinate grid. Notice how it is symmetrically distributed around a specific point.

Through careful observation of the distances from the circle's edge to potential central points in both the and directions, we can see that the circle is centered at

Click "Show Answer" to reveal the answer and analysis