Respuesta :

Answer:

B. 171.74 cm²

Step-by-step explanation:

Area of a sector = [tex] \frac{\theta}{360} \times \pi r^2 [/tex].

Where,

[tex] \theta = 260 [/tex]

radius (r) = 8.7 cm

Plug in the values into the formula

Area of sector = [tex] \frac{260}{360} \times \pi 8.7^2 [/tex]

Area of sector = [tex] \frac{260 \times \pi 75.69}{360} [/tex]

Area of sector = 171.74 cm² (approximated)