The graph of the equation below is a circle. What is the length of the radius of the circle (x plus 5)2 plus (y plus 7)2 212?

The equation of the circle is given as ((x + 5)^2 + (y + 7)^2 = 212). In the standard form of a circle's equation ((x - h)^2 + (y - k)^2 = r^2), the radius (r) is the square root of the right side. Here, (r^2 = 212), so the radius (r) is (\sqrt{212}), which simplifies to (2\sqrt{53}).