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]