Area Under The Curves

Let \(y = p(x)\) be the parabola passing through the points \(( - 1,0),(0,1)\) and \((1,0)\). If the area of the region \(\{ (x,y):{(x + 1)^2} + {(y - 1)^2} \le 1,y \le p(x)\}\) is A, then \(12(\pi - 4A)\) is equal to ___________.