Question

SW is the diameter of circle C. Point S is located at (6,-1) and point W is located at (10,-7). What are the coordinates of the center of this circle?A. (7, -5)B. (8, -3)C. (8, -4)D. (9, -3)

Answer 1

The center of the circle is the same as the midpoint of its diameter.

To find the coordinates of the midpoint of a segment, calculate the average between the x and y coordinates of the endpoints of the segment, respectively.

The x-coordinate of the point S is 6 and that of the point W is 10. Then, the average between those values, is:

`(6+10)/(2)=(16)/(2)=8`

Similarly, since the y-coordinate of the point S is -1 and that of the point W is -7, then the average of the y-coordinates is:

`(-1-7)/(2)=(-8)/(2)=-4`

Therefore, the coordinates of the center of the circle are:

`(8,-4)`