Find the center-radius form of the equation of the circle.
-center $( - 8 , - 10 )$, radius 8
A) $( x - 10 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 8$
B) $( x + 8 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 64$
C) $( x - 8 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 64$
D) $( x + 10 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 8$

Question

Quizplus · Accepted Answer

The center-radius form of a circle's equation is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center and $r$ is the radius. Given the center $(-8, -10)$ and radius $8$, the equation becomes $(x + 8)^2 + (y + 10)^2 = 64$, matching choice B.

Find the Center-Radius Form of the Equation of the Circle (−8,−10)( - 8 , - 10 )(−8,−10)

Find the Center-Radius Form of the Equation of the Circle $( - 8 , - 10 )$