Answer:
(8, 6)
Explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).