Find the center (h, k) and radius r of the circle with the given equation.
-$$( x - 2 ) ^ { 2 } + y ^ { 2 } = 9$$
A) $( h , k ) = ( 2,0 ) ; r = 3$
B) $( h , k ) = ( 0,2 ) ; r = 9$
C) $( h , k ) = ( 2,0 ) ; r = 9$
D) $( \mathrm { h } , \mathrm { k } ) = ( 0,2 ) ; \mathrm { r } = 3$

Question

Quizplus · Accepted Answer

The equation of a circle in the standard form is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center of the circle and $r$ is the radius. Comparing the given equation $(x - 2)^2 + y^2 = 9$ with the standard form, we find $h = 2$, $k = 0$, and $r^2 = 9$, which means $r = 3$.

Find the Center (H, K) and Radius R of the Circle