Question

The end points of the diameter of a circle are at (-4,-5) and (6,-3). what are the coordinates of the center of the circle?

Answer 1

Answer:

(1,-4)

Step-by-step explanation:

Remember, the diameter of a circle crosses through the center from one side of the circle to the other. It is 2 times the radius. This means the center of the circle is the midpoint of the diameter. We find it using the midpoint formula:

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

$(\frac{-4+6}{2} , \frac{-5+-3}{2})=(\frac{2}{2} , \frac{-8}{2})=(1,-4)$