Find the center of a circle if a diameter of the circle has the given endpoints.
-$( - 1 , - 6 )$ and $( - 7 , - 2 )$.
A) $( - 4 , - 2 )$
B) $( 3 , - 2 )$
C) $( - 4 , - 4 )$
D) $( 3 , - 4 )$

Question

Quizplus · Accepted Answer

The center of a circle is the midpoint of its diameter. The midpoint formula is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Applying this to the given points $(-1, -6)$ and $(-7, -2)$, we get $\left( \frac{-1 - 7}{2}, \frac{-6 - 2}{2} \right) = \left( -4, -4 \right)$.

Find the Center of a Circle If a Diameter of the Circle