Answer:
9.42 square units
Step-by-step explanation:
[tex]radius \: (r) = 2 \: units \\ central \: \angle \: ( \theta) = 360 \degree - 90 \degree = 270 \degree \\ \\ area \: of \: shape \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{ 270 \degree}{360 \degree} \times 3.14 \times {2}^{2} \\ \\ = \frac{ 3}{4} \times 3.14 \times 4 \\ \\ = 3 \times 3.14 \\ \\ = 9.42 \: {units}^{2} [/tex]
