Find the center-radius form of the circle described or graphed.
-A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,17 )$. Find the coordinates of the center.
A) $( - 14 , - 7 )$
B) $( 10,9 )$
C) $( 46,33 )$
D) $( 20,18 )$

Question

Quizplus · Accepted Answer

The center of a circle is the midpoint of its diameter. The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Applying this to the given points $(-2,1)$ and $(22,17)$, we get the center as $(\frac{-2 + 22}{2}, \frac{1 + 17}{2}) = (10, 9)$.

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 $( - 2,1 )$