Consider the circle, which has 4 intersection points with axes, on the graph.

Write the equation of the circle in the form \left(x-h\right)^2+\left(y-k\right)^2=r^2.

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the circle, which has 4 intersection points with axes, on the graph.

Write the equation of the circle in the form \left(x-h\right)^2+\left(y-k\right)^2=r^2.

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the circle, which has 4 intersection points with axes, on the graph.

Write the equation of the circle in the form \left(x-h\right)^2+\left(y-k\right)^2=r^2.
