OpenSAT

The radius of the circle is the distance between the center of the circle and any point on the circle. We can use the distance formula to find the distance between (-2, 5) and (4, -1): \begin{align*} \sqrt{(4 - (-2))^2 + (-1 - 5)^2} &= \sqrt{6^2 + (-6)^2}\\ &= \sqrt{36 + 36} \\ &= \sqrt{72} \\ &= 6\sqrt{2} \\ &= 6(1.41) \\ &\approx 8.46. \end{align*} Since the radius is the distance between the center and a point on the circle, the radius is approximately 8.46. Of the given choices, the closest value is 10.