The equation of a circle is typically represented in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Given the equation (x+5)² + (y-3)² = 4², we can see that the center of the circle is at the point (-5, 3) because the signs inside the parentheses are opposite to the values of h and k in the general form.
To find the radius, we look at the equation and see that the radius (r) is the square root of the value on the right side of the equation, which is 4². Therefore, the radius is 4 units.
So, the correct answer is: O 4 units.
