Find the center-radius form of the equation of the circle.
-center $( 7,0 )$, radius $\sqrt { 15 }$
A) $( x + 7 ) ^ { 2 } + y ^ { 2 } = 15$
B) $( x - 7 ) ^ { 2 } + y ^ { 2 } = \sqrt { 15 }$
C) $( x - 7 ) ^ { 2 } + y ^ { 2 } = 15$
D) $x ^ { 2 } + ( y - 7 ) ^ { 2 } = 225$

Question

Quizplus · Accepted Answer

The general 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 $(7, 0)$ and radius $\sqrt{15}$, the equation becomes $(x - 7)^2 + (y - 0)^2 = (\sqrt{15})^2$, which simplifies to $(x - 7)^2 + y^2 = 15$.

Find the Center-Radius Form of the Equation of the Circle (7,0)( 7,0 )(7,0)

Find the Center-Radius Form of the Equation of the Circle $( 7,0 )$