Let O(5, -5) be the center of the circle, and P(6, -2) be a point on this circle.
The distance between points O and P, that is |OP|, is the radius of this circle,
We use the distance between 2 points formula:
|OP|=[tex] \sqrt{ (x_2-x_1)^{2} + (y_2-y_1)^{2} }= \sqrt{ (6-5)^{2} + (-2-(-5))^{2} }[/tex]
[tex]= \sqrt{ 1^{2}+ (-2+5)^{2}} = \sqrt{1+9}= \sqrt{10} [/tex] (units)
Answer: [tex]\sqrt{10} [/tex] units
