1. Find the equation of the circle centered at \((1,-4)\) with radius 3. Write your equation in the form \((x - h)^2 + (y - k)^2 = r^2\)
2. A circle centered at \((0,-8)\) passes through the point \((2,-5).\) Find the equation of the circle. Write your equation in the form
\((x - h)^2 + (y - k)^2 = r^2\)
3. Find the area of the region satisfying the inequality \(x^2 + y^2 \leq 4x + 6y+13\).