Answer
The center point of the circle with this equation is (-5, 7)
And the radius of the circle = 6 units
Step-by-step explanation
The equation of a circle with center (h, k) and radius, r, is given as
(x - h)² + (y - k)² = r²
So, for the question given that the equation of the circle is
(x + 5)² + (y - 7)² = 36
We can write this as
(x + 5)² + (y - 7)² = 6²
Comparing this with
(x - h)² + (y - k)² = r²
We can see that
h = -5
k = 7
r = 6
Hope this Helps!!!