Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( - 4,0 )$ and $( 6 , - 6 )$
A) $( x + 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 34$
B) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 9$
C) $( x - 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 34$
D) $x ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$

Question

Quizplus · Accepted Answer

The center of the circle is the midpoint of the diameter, calculated as $(1, -3)$. The radius is half the distance between the endpoints, calculated as $\sqrt{34}$. Thus, the equation is $(x - 1)^2 + (y + 3)^2 = 34$.

Find the Center-Radius Form of the Circle Described or Graphed (−4,0)( - 4,0 )(−4,0)

Find the Center-Radius Form of the Circle Described or Graphed $( - 4,0 )$