Final answer:
The standard form of the equation is (x+2)^2 + (y-3)^2 = 100, representing a circle with a radius of 10 units centered at (-2, 3).
Step-by-step explanation:
The equation x^2 + 4x + 4 + y^2 - 6y + 9 = 100 is not in standard form. To convert it to standard form, we need to isolate the (x^2 + 4x + 4) and (y^2 - 6y + 9) terms which are both perfect squares. By factoring these, we get (x+2)^2 and (y-3)^2, respectively. Thus, the equation in standard form will be (x+2)^2 + (y-3)^2 = 100. This represents a circle with a radius of 10 units centered at (-2, 3) in the coordinate plane.