Find the center and radius of the circle.
-$x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$
A) $( - 7,0 ) , r = 25$
B) $( 0,7 ) , r = 5$
C) $( 7,0 ) , \mathrm { r } = 25$
D) $( 0 , - 7 ) , \mathrm { r } = 5$

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 $x^2 + (y - 7)^2 = 25$ with the standard form, we find $h = 0$, $k = 7$, and $r^2 = 25$, which means the center is $(0, 7)$ and the radius $r = \sqrt{25} = 5$.

Find the Center and Radius of the Circle x2+(y−7)2=25x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25x2+(y−7)2=25

Find the Center and Radius of the Circle $x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$