Question

If the equation of a circle is (x + 4)2 + (y - 612 = 25, its center point is

Answer 1

Answer:

Center point: $(-4,6)$

Radius: $r=5$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center point of the circle and $r$ is the radius of the circle.

Given our equation $(x+4)^2+(y-6)^2=25$, we can see that $(h,k)$ is $(-4,6)$ and since $r^2=25$, our radius is  $r=\sqrt{r^{2} } =\sqrt{25} = 5$

Therefore, the center point is $(-4,6)$ and the radius is $r=5$