The shape given is three-quater of a circle.
[tex]\begin{gathered} \text{Area of a circle = }\pi r^2 \\ \text{Area for three-quarter of a circle becomes } \\ A\text{ = }\frac{3}{4}\times\text{ }\pi r^2\text{ the radius r = 2 } \\ A\text{ = }\frac{3}{4}\times\text{ }\pi2^2\text{ } \\ A\text{ = }\frac{3}{4}\times\text{ }\pi4^{}\text{ } \\ A\text{ = 3}\pi\text{ units in terms of }\pi \end{gathered}[/tex]