Respuesta :

Answer:

62.8 square units

Step-by-step explanation:

[tex] \theta = \frac{2}{5} \pi = \frac{2}{5} \times 180 \degree = 72 \degree \\ \\ area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ = \frac{ 72 \degree}{360 \degree} \times \pi \times {10}^{2}\\ = \frac{ 1}{5} \times \pi \times 100 \\ = 20\pi \\ = 20 \times 3.14 \\ = 62.8 \: units^{2} [/tex]