Let  $d_1((x_1,y_1),(x_2,y_2))=|x_1-x_2|+|y_1-y_2|$ and  $d_2((x_1,y_1),(x_2,y_2))=\sqrt{{(x_1-x_2)}^2+{(y_1-y_2)}^2}$  where  $d_1,d_2$ denotes the distance between the point $(x_1,y_1)$ and $(x_2,y_2)$ on the co-ordinate plane, then area of the region enclosed by the set of points $(x,y)$ satisfying,  $d_1((x,y),(0,0))\ge 1{\text{\hspace{0.17em}\hspace{0.17em}and\hspace{0.17em}\hspace{0.17em}d}}_2((x,y),(0,0))\le 1$is A, then find  $\left[A\right]$, [.]  $\to$ G.I.F.