How do you graph #x^2+y^2=25#?

The graph is drawn below graph{x^2+y^2=25 [-10, 10, -5, 5]}

To graph the equation (x^2 + y^2 = 25), which represents a circle with radius 5 and centered at the origin, follow these steps:

1. Plot the center of the circle at the origin (0, 0).
2. Since the equation represents all points whose distances from the origin are 5 units (radius of the circle), mark points on the circle accordingly.
3. To find points on the circle, you can choose various values for (x) or (y), and then calculate the corresponding values to satisfy the equation.
4. For example, if you let (x = 0), then (y) can be (\pm 5). Similarly, if you let (y = 0), then (x) can be (\pm 5).
5. Connect the plotted points to form the circle.

Once these steps are completed, you'll have the graph of (x^2 + y^2 = 25), which is a circle with radius 5 centered at the origin.