Find the center of a circle if a diameter of the circle has endpoints (-5, -4) and (-11, -2).
A) (-8, -3)
B) (3, -1)
C) (3, -3)
D) (-8, -1)

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 (-5, -4) and (-11, -2), we get $\left(\frac{-5 - 11}{2}, \frac{-4 - 2}{2}\right) = \left(\frac{-16}{2}, \frac{-6}{2}\right) = (-8, -3)$.

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