Use the given information about a circle to find its equation.
-Center $( - 1 , - 5 )$ and radius $\sqrt { 3 }$
A) $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = \sqrt { 3 }$
B) $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 3$
C) $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 3$
D) $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = \sqrt { 3 }$

Question

Quizplus · Accepted Answer

The equation of a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. Given the center $(-1, -5)$ and radius $\sqrt{3}$, the equation becomes $(x + 1)^2 + (y + 5)^2 = (\sqrt{3})^2$, which simplifies to $(x + 1)^2 + (y + 5)^2 = 3$.

Use the Given Information About a Circle to Find Its (−1,−5)( - 1 , - 5 )(−1,−5)

Use the Given Information About a Circle to Find Its $( - 1 , - 5 )$