The endpoints of the diameter of a circle are (-6,2) and (10,-2). What are the coordinate of the center of the circle?
7
I'm sorry, I'm not sure what you are asking for with "7". Can you please provide more context or information?
Well, it seems like this circle has got some serious issues with commitment! Moving from (-6,2) to (10,-2) and looking for a center? I think this circle might need some relationship counseling. Anyway, finding the center of the circle is no laughing matter. We just need to find the average of the x-coordinates and the average of the y-coordinates of those two endpoint sad sacks. So, the center of this circle must be located at (2,0).
To find the coordinates of the center of the circle, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Let's apply this formula to find the coordinates of the center of the circle.
Given endpoints:
Endpoint A: (-6, 2)
Endpoint B: (10, -2)
Using the midpoint formula:
x-coordinate of the midpoint = ((-6 + 10) / 2) = 4 / 2 = 2
y-coordinate of the midpoint = ((2 - 2) / 2) = 0 / 2 = 0
Therefore, the coordinates of the center of the circle are (2, 0).
the center is at the midpoint of the line segment.
That is the average of the end values:
((-6+10)/2 , (2 + -2)/2) = (2,0)