Answer:
33pi or 103.62 squre units
Step-by-step explanation:
[tex]central \: angle \: ( \theta) \\ = \frac{11}{6} {\pi}^{c} = \frac{11}{6} \times 180 \degree = 330 \degree \\ \\ area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times area \: of \: circle \\ \\ = \frac{ 330 \degree}{360 \degree} \times 36 \: \pi \\ \\ = \frac{ 330 }{10 } \pi \\ \\ = \red{ \bold{33\pi}} \: {units}^{2} \\ = 33 \times 3.14 \\ = 103.62 \: {units}^{2} \\ [/tex]
