Answer:
[tex] \frac{16\pi}{9} {cm}^{2} [/tex]
Option C is the correct option
Step-by-step explanation:
[tex]angle \: theta = 40 \: degree \\ theta = 40 \times \frac{\pi}{180 } \\ theta = \frac{2\pi}{9} [/tex]
Radius= 4 cm
[tex]area = \frac{1}{2} \times theta \: \times {r}^{2} \\ \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{2\pi}{9} \times {4}^{2} \\ \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{2\pi}{9} \times 16 \\ \: \: \: \: \: \: \: = \frac{16\pi}{9 \: {cm}^{2} } [/tex]
Hope this helps....
Good luck on your assignment...
