Respuesta :

Answer:

153.9 m² (nearest tenth)

Step-by-step explanation:

When the angle is measured in degrees, the formula of the area of sector is:

[tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

Given: r= 14m, θ= 90

Area of sector

[tex] = \frac{90°}{360°} \times 3.14 \times {14}^{2} \\ = 153.86 \\ = 153.9 \: m^{2} \\ (nearest \: tenth)[/tex]