Answer:
9.42 square units
Step-by-step explanation:
[tex]central \: \angle \: ( \theta) = 90 \degree \\ radius \: (r) = 2 \: units \\ Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{ 90 \degree}{360 \degree} \times \pi \times {2}^{2} \\ \\ = \frac{ 1}{4} \times \pi\times 4 \\ \\ =\pi \: {units}^{2} [/tex]
Area of shape = Area of circle - Area of sector
[tex] = \pi r^2 - \pi\\
=\pi(r^2 -1)\\
=3.14(2^2 -1)\\
=3.14(4 -1)\\
=3.14\times 3\\
= 9.42\: units^2 \\[/tex]
