Step-by-step explanation:
[tex]area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{75\degree}{360 \degree} \times 3.14 \times {4}^{2} \\ \\ = \frac{5}{24 } \times 3.14 \times 16 \\ \\ = \frac{5}{6 } \times 3.14 \times 4 \\ \\ = \frac{62.8}{6 } \\ \\ = 10.4666667 \\ \\ \approx10.5 \: {ft}^{2} [/tex]
