Respuesta :

Answer:

119.78 square m.

Step-by-step explanation:

[tex]d = 28 \: m \implies \: r = 14 \: m \\ central \: \angle \:( \theta) \\ = 180 \:degree - 110 \degree \\ = 70 \degree \\ \\ area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{70 \degree}{360 \degree} \times \frac{22}{7} \times {14}^{2} \\ \\ = \frac{7}{36} \times \frac{22}{7} \times 196 \\ \\ = \frac{7}{36} \times \frac{22}{1} \times 28 \\ \\ = \frac{7}{9} \times 22 \times 7 \\ \\ = \frac{1078}{9} \\ \\ = 119.777778 \\ \\ = 119.78 \: {m}^{2} \\ [/tex]