Respuesta :

Answer:

p = 38.22

Step-by-step explanation:

Area of sector

[tex] = \frac{ \theta}{360 \degree} \pi {r}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times {6}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times 36 \\ \\ p \degree= \frac{12 \times 360 \degree}{3.14 \times 36} \\ \\ p\degree = \frac{4,320 \degree}{113.04} \\ \\ p \degree= 38.2165605 \degree \\ \\ p = 38.22[/tex]