Find the center and radius of the circle with the given equation.
-$$( x + 5 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 144$$
A) Center $( - 5,10 ) , \mathrm { r } = 12$
B) Center $( 10 , - 5 ) , \mathrm { r } = 144$
C) Center $( - 5,10 ) , \mathrm { r } = 144$
D) Center $( 10 , - 5 ) , \mathrm { r } = 12$

Question

Quizplus · Accepted Answer

The equation of a circle in the form $(x - h)^2 + (y - k)^2 = r^2$ has a center at $(h, k)$ and a radius $r$. The given equation $(x + 5)^2 + (y - 10)^2 = 144$ matches this form with $h = -5$, $k = 10$, and $r^2 = 144$, so $r = 12$.

Find the Center and Radius of the Circle with the Given