Answer:
(2,-4)
Step-by-step explanation:
The equation of a circle is: [tex](x-h)^2+(y-K)^2=r^2[/tex]
X y Y are any point in the circle
h y K are the center of the circle
r is the ratio (distance between the center and any point of the circle)
If you have this equation: [tex](x-2)^2+(y+4)^2=r^2[/tex]
You can replace in the basic equation of a circle in this way:
[tex](x-h)^2+(y-K)^2=r^2[/tex] is equal to [tex](x-2)^2+(y-(-4))^2=5^2[/tex]
And you get: [tex](x-2)^2+(y+4)^2=5^2[/tex]
where:
h=2
K=-4
r=5
Then, the center of the circle is (2,-4)
