Use the given information about a circle to find its equation.
-Center $( 6 , - 7 )$ and radius of 5
A) $( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 5$
B) $( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$
C) $( x - 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$
D) $( x - 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$

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 $(6, -7)$ and radius $5$, the equation becomes $(x - 6)^2 + (y + 7)^2 = 5^2$, which simplifies to $(x - 6)^2 + (y + 7)^2 = 25$.

Use the Given Information About a Circle to Find Its (6,−7)( 6 , - 7 )(6,−7)

Use the Given Information About a Circle to Find Its $( 6 , - 7 )$