Find the center-radius form of the equation of the circle.
-center $( 5,7 )$, radius $\sqrt { 15 }$
A) $( x - 7 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 225$
B) $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 15$
C) $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 15$
D) $( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 225$

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 $(5,7)$ and radius $\sqrt{15}$, the equation is $(x - 5)^2 + (y - 7)^2 = (\sqrt{15})^2$, which simplifies to $(x - 5)^2 + (y - 7)^2 = 15$.

Find the Center-Radius Form of the Equation of the Circle (5,7)( 5,7 )(5,7)

Find the Center-Radius Form of the Equation of the Circle $( 5,7 )$