The general equation of a circle is expressed as
(x - h)^2 + (y - k)^2 = r^2
Where
h represents the x coordinate of the center of the circle.
k represents the y coordinate of the center of the circle.
r represents the radius of the circle.
From the information given,
h = 4
k = - 5
r = 7
Thus, the equation of the circle is
(x - 4)^2 + (y - - 5)^2 = 7^2
(x - 4)^2 + (y + 5)^2 = 49
The equation of the circle is
(x - 4)^2 + (y + 5)^2 = 49
