Geometry

Question Analysis

The main focus is on determining the radius of a circle in the coordinate plane. The radius is the distance from the center of the circle to any point on its circumference. We can use the distance formula or count grid units to find it.

Key Concept Explanation

The radius  of a circle is the distance between the center  and a point  on the circle. The distance formula is . In a grid - based system, we can also visually count the units from the center to the edge of the circle.

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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