Find the center-radius form of the circle described or graphed.
-A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,11 )$. Find the radius.
A) $\sqrt { 13 }$
B) 13
C) $\sqrt { 26 }$
D) 26

Question

Quizplus · Accepted Answer

The radius is half the length of the diameter. The distance between the endpoints of the diameter is calculated using the distance formula: $\sqrt{(22 - (-2))^2 + (11 - 1)^2} = \sqrt{24^2 + 10^2} = \sqrt{576 + 100} = \sqrt{676} = 26$. The radius is half of this, which is 13.

Find the Center-Radius Form of the Circle Described or Graphed (−2,1)( - 2,1 )(−2,1)

Find the Center-Radius Form of the Circle Described or Graphed $( - 2,1 )$