Answer:
R = 10
Step-by-step explanation:
The distance between the two points is the radius (per the definition of a circle).
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\\to R = \sqrt{(11 - 5)^2 + (1 - (-7))^2}\\\to R = \sqrt{6^2 + 8^2}\\\to R = \sqrt{36 + 64}\\\to R = \sqrt{100} = 10[/tex]
