Respuesta :

We know that the area of a sector is given by:

[tex]A = \dfrac{\pi r^2\alpha}{360}[/tex]

Where α is the angle in degrees and r is the radius. We have:

  • r = 9
  • α = 82°

Evaluating:

[tex]A = \dfrac{\pi r^2\alpha}{360} = \dfrac{\pi(9)^2\cdot 82}{360} = 57.96\ u^2[/tex]

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