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

(1,-4)

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:

`((x_1+x_2)/(2) , (y_1+y_2)/(2))`

`((-4+6)/(2) , (-5+-3)/(2))=((2)/(2) , (-8)/(2))=(1,-4)`