Respuesta :

Answer:

  • 2991.72 cm²

Step-by-step explanation:

Find the area left:

  • A =
  • πr² - 80/360*πr² =
  • πr²(1 - 2/9) =
  • 7/9πr² =
  • 7/9*3.14*35² =
  • 2991.72 cm²

Removed area

[tex]\\ \sf\longmapsto A=\dfrac{\theta}{360}\pi r^2[/tex]

[tex]\\ \sf\longmapsto A=\dfrac{80}{360}\pi r^2[/tex]

[tex]\\ \sf\longmapsto A=\dfrac{2}{9}\pi r^2[/tex]

Left area.

[tex]\\ \sf\longmapsto \pi r^2-\dfrac{2}{9}\pi r^2[/tex]

[tex]\\ \sf\longmapsto \pi r^2(1-2/9)[/tex]

[tex]\\ \sf\longmapsto \pi r^2(7/9)[/tex]

[tex]\\ \sf\longmapsto 7/9(35)^2\pi[/tex]

[tex]\\ \sf\longmapsto 952.7\pi cm^2[/tex]