Area of the large semicircle
[tex] = \pi{r}^{2} \div 2[/tex]
[tex] = \frac{22}{7} \times 12 {}^{2} \times \frac{1}{2} [/tex]
[tex] = \frac{11}{7} \times12 \times 12[/tex]
[tex] = \frac{11}{7} \times 144[/tex]
[tex] = 226.28[/tex]
Area of the small semicircle
[tex] = \pi {r}^{2} \div 2[/tex]
[tex] = \frac{22}{7} \times 6 {}^{2} \times \frac{1}{2} [/tex]
[tex] = \frac{11}{7} \times 6 \times 6[/tex]
[tex] = \frac{11}{7} \times 36[/tex]
[tex] = 56.57[/tex]
Area of the figure
[tex] = 226.28 - 56.57[/tex]
[tex] = 169.71 {cm}^{2} [/tex]
