Geometry

Question Analysis

The main focus is on determining the radius of a circle plotted in the coordinate plane. The radius is the distance from the center of the circle to any point on its circumference.

 

Key Concept Explanation

In the coordinate plane, the radius of a circle can be found by measuring the distance from the center to a point on the circle. The distance formula is . In a grid - based system, we can also count the grid units between the center and the circumference.

 

Step - by - Step Solution

1. Locate the center of the circle:

By observing the graph, the center of the circle is at the point .

2. Find a point on the circumference:

Notice that the circle intersects the x - axis at (for example).

3. Calculate the radius:

Using the distance formula with

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