Chapter 9 Quadratic Relations and Conic Sections - 9.3 Graph and Write Equations of Circles - 9.3 Exercises - Quiz for Lessons 9.1-9.3 - Page 632: 6

$$\left(\frac{9}{2},\:\frac{3}{2}\right)$$

Using the distance formula, we find: $$\sqrt{\left(6-3\right)^2+\left(5-\left(-2\right)\right)^2}\\ \sqrt{58}$$ Using the midpoint formula, we find: $$\left(\frac{6+3}{2},\:\frac{5-2}{2}\right)\\ \left(\frac{9}{2},\:\frac{3}{2}\right)$$