Find the center and radius of the circle.
-$$( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$$
A) $( 4 , - 7 ) , r = 5$
B) $( - 4,7 ) , \mathrm { r } = 25$
C) $( - 7,4 ) , r = 5$
D) $( 7 , - 4 ) , r = 25$

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 $(x + 7)^2 + (y - 4)^2 = 25$ matches this form with $h = -7$, $k = 4$, and $r^2 = 25$, which means $r = 5$. Therefore, the center is $(-7, 4)$ and the radius is $5$.

Find the Center and Radius of the Circle (x+7)2+(y−4)2=25( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25(x+7)2+(y−4)2=25

Find the Center and Radius of the Circle $( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$