Solve the problem.
-A circle has a diameter with endpoints $( - 2,1 )$ and $( 18,13 )$. Find the coordinates of the center.
A) $( 16,14 )$
B) $( 8,7 )$
C) $( - 12 , - 5 )$
D) $( 38,25 )$

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 $(18,13)$, we get the center as $(\frac{-2 + 18}{2}, \frac{1 + 13}{2}) = (8, 7)$.

Solve the Problem (−2,1)( - 2,1 )(−2,1) And (18,13)( 18,13 )(18,13) Find the Coordinates of the Center

Solve the Problem $( - 2,1 )$ And $( 18,13 )$ Find the Coordinates of the Center