https://r2.erweima.ai/mathbot/image/17213285401330yx8f92r.png

To calculate the radius of the circle shown in the image, we need to determine the distance from the center of the circle to any point on its circumference.

1. **Identify the center of the circle**: From the graph, the center of the circle is at the point (1, 0).

2. **Identify a point on the circumference**: A clear point on the circumference is at (2, 0).

3. **Calculate the distance between these points**: The distance between the center (1, 0) and the point on the circumference (2, 0) is the radius.

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Applying the formula:
\[ r = \sqrt{(2 - 1)^2 + (0 - 0)^2} \]
\[ r = \sqrt{1^2 + 0^2} \]
\[ r = \sqrt{1} \]
\[ r = 1 \]

Therefore, the radius of the circle is:
\[ r = 1 \, \text{unit} \]

Would you like more details or have any questions about this solution? 

Here are 5 questions you might find helpful:
1. How do you calculate the distance between two points on a graph?
2. What is the formula for the circumference of a circle?
3. How do you find the equation of a circle given its center and radius?
4. How do you determine the center of a circle from its equation?
5. What are the different ways to represent a circle in coordinate geometry?

**Tip:** Always ensure that you carefully plot the points and correctly use the distance formula for accurate results.

Learn how to calculate the radius of a circle using the distance formula. This problem involves identifying the center and a point on the circumference of a circle, applying the distance formula to determine the radius. Suitable for students in Grades 7-9.

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