**8/30/2014****
**Given
a circle with equation: x^{2}
+ y^{2}
– 10x + 12y – 39 = 0 inscribed in a square, find the
diagonal of the square. **Scroll
down for the solution.**

**8/30/2014
**Solution.
**Completing
the Square for the circle to find its radius, we get: (x – 5)**^{2}**
+ (y + 6)**^{2}**
= 100 so that radius, ***r
***=
10. Since the circle is inscribed in the square, side of the square
is 20 making its diagonal, d = 20****√****2.**