A linear transformation maps a point $(x, y)$ in the plane to the point $(\hat{x}, \hat{y})$ according to the rule
$$\hat{x}=3 y, \quad \hat{y}=2 x .$$
Then, the disc $x^2+y^2 \leq 1$ gets transformed to a region with an area equal to ________. (Rounded off to two decimals)
Use $\pi=3.14$