Respuesta :

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]

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