ANSWER
[tex]( 8 ,7 )[/tex]
EXPLANATION
Use the midpoint formula to find the center of this circle.
The midpoint formula is
[tex]( \frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
The reason is that, the midpoint of the diameter RS gives the center of the circle.
Point R is located at (11, 10) and point S is located at (5, 4).
We plug in the values to get:
[tex]( \frac{11+5}{2} ,\frac{4+10}{2} )[/tex]
[tex]( \frac{16}{2} ,\frac{14}{2} )[/tex]
[tex]( 8 ,7 )[/tex]
