Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the​ relation's domain and range.
x squared plus y squared equals 25

Here is the graph of the equation \(x^2 + y^2 = 25\), which is a circle centered at \((0, 0)\) with a radius of 5.

### Summary:
- **Center:** \((0, 0)\)
- **Radius:** \(5\)
- **Domain:** \([-5, 5]\)
- **Range:** \([-5, 5]\)

Would you like further details or have any questions?

Here are five related questions to expand on this topic:
1. How do you find the equation of a circle given three points?
2. What is the equation of a circle if its center is at \((3, -2)\) and its radius is 7?
3. How does the equation change if the circle is translated to a different center point?
4. What is the relationship between a circle's equation and its graph in polar coordinates?
5. How can you find the equation of a tangent line to the circle at a specific point?

**Tip:** Always check if the circle's equation is in standard form. If not, completing the square might help you rewrite it into a recognizable form.

Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the relation's domain and range. x squared plus y squared equals 25.

This problem explains how to find the center and radius of the circle given by the equation x^2 + y^2 = 25. Learn how to graph the circle, identify its domain and range, and explore related questions about circles. Ideal for students in Grades 9-11.

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