Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( - 2,8 )$ and $( 8,2 )$
A) $( x - 3 ) ^ { 2 } + y ^ { 2 } = 9$
B) $( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 34$
C) $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 25$
D) $( x - 5 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 34$

Question

Quizplus · Accepted Answer

The center of the circle is the midpoint of the diameter, which is $(3, 5)$. The radius is half the distance between the endpoints, calculated as $\sqrt{34}$. Thus, the equation is $(x - 3)^2 + (y - 5)^2 = 34$.

Find the Center-Radius Form of the Circle Described or Graphed (−2,8)( - 2,8 )(−2,8)

Find the Center-Radius Form of the Circle Described or Graphed $( - 2,8 )$