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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.

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Learn how to determine the radius of a circle from a given center and point using the distance formula. This geometry problem involves key concepts like coordinate geometry and is suitable for students in Grades 9-10.

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