Answer:
Area of the semi circle is given by
[tex] = \frac{\pi \: {r}^{2} }{2 } = \frac{\pi {(4)}^{2} }{2} = 8\pi[/tex]
Area of the triangle is given by,
[tex] = \frac{1}{2} \times 8 \times 3 = 12[/tex]
Area of the given figure,
[tex](8\pi + 12) {inc}^{2} [/tex]
