To determine the radius of the circle from the given image, let's analyze the circle's properties based on the diagram:

1. The circle is centered at the point $(6, 0)$ on the coordinate plane.
2. A point on the circle lies on the x-axis at $(10, 0)$.

The radius $r$ of the circle can be determined by calculating the distance between the center of the circle $(6, 0)$ and any point on the circle.

Given the point $(10, 0)$ is on the circle, the radius $r$ is calculated as: $r = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substituting the values: $r = \sqrt{(10 - 6)^2 + (0 - 0)^2} = \sqrt{4^2} = 4$

Thus, the radius of the circle is 4 units.

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:

1. How do you determine the equation of a circle from its center and radius?
2. What is the general form of a circle's equation in the coordinate plane?
3. How would you find the radius if you only know the center and one point not on the x-axis?
4. Can you calculate the area of the circle using the radius found?
5. What changes in the equation of the circle if the center is moved?

Tip: Always check the coordinates carefully when calculating distances on the coordinate plane, especially when using them to find the radius of a circle.