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]