The equation of a circle is written as
(x - h)^2 + (y - k)^2 = r^2
Where
h and k are the x and y coordinates of the center of the circle respectively
r = radius of circle.
from the information given, center = (- 4, 5)
Thus,
h = - 4, k = 5
Radius, r = 5
By substituting these values into the equation of the circle, it becomes
(x - - 4)^2 + (y - 5)^2 = 5^2
(x + 4)^2 + (y - 5)^2 = 25
The equation of the circle is
(x + 4)^2 + (y - 5)^2 = 25