Answer:
The equation of the circle is (x + 7)^2 + (y - 13)^2 = 25.
Explanation:
The equation of a circle with a center (a,b) and radius r is given by:
(x - a)^2 + (y - b)^2 = r^2
So, for the center (-7, 13) and a radius of 5 units, the equation of the circle is: (x - (-7))^2 + (y - 13)^2 = 5^2
Simplifying this equation, we get:
(x + 7)^2 + (y - 13)^2 = 25
Therefore, the equation of the circle with center (-7,13) and radius 5 units is (x + 7)^2 + (y - 13)^2 = 25.