Question

I need help with this problem if do thank you a lot

Answer 1

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.