Answer:
[tex](x-2)^2+(y+4)^2=25[/tex]
Step-by-step explanation:
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius of the circle.
The given circle has:
x-coordinate of center: 2
y-coordinate of center: -4
radius: 5
Meaning h = 2, k = -4, r = 5
Substitute into the general eqn.
[tex](x-2)^2+(y+4)^2=5^2=25[/tex]
