Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( - 3,4 )$ and $( - 3 , - 4 )$
A) $( x + 3 ) ^ { 2 } + y ^ { 2 } = 4$
B) $( x + 3 ) ^ { 2 } + y ^ { 2 } = 16$
C) $( x - 4 ) ^ { 2 } + y ^ { 2 } = 9$
D) $x ^ { 2 } + ( y - 4 ) ^ { 2 } = 9$

Question

Quizplus · Accepted Answer

The center of the circle is the midpoint of the diameter, which is $(-3,0)$, and the radius is half the distance between the endpoints, which is $4$. Thus, the equation is $(x + 3)^2 + y^2 = 16$.

Find the Center-Radius Form of the Circle Described or Graphed (−3,4)( - 3,4 )(−3,4)

Find the Center-Radius Form of the Circle Described or Graphed $( - 3,4 )$