Answer:
(1,7)
Explanation:
Hi there!
The center of the circle is located in the middle two diameter endpoints. To find the coordinates of the center of the circle, calculate the midpoint of the two endpoints A and B.
Midpoint:
where the two given points are
and

Plug in the given points A(5, 10) and B(-3,4):

Therefore, the center of the circle have coordinates of (1,7).
I hope this helps!