allisonchorath4766 allisonchorath4766
  • 10-05-2021
  • Mathematics
contestada

a set of two concentric circles is shown above. What is the area of the shaded portion above?

Respuesta :

codiepienagoya codiepienagoya
  • 14-05-2021

Answer:

The answer is "[tex]44 \ m^2[/tex]"

Step-by-step explanation:

[tex]R=4.5 \ m \\\\r=2.5\ m\\\\[/tex]

The area between two concentrated circles via an exterior circle radius R and an internal circle

[tex]r =\pi(R^2-r^2)[/tex]

The region, therefore, consists of two concentrated circles with radii of 4.5 m and 2.5 m.

[tex]r=\pi(4.5^2 -2.5^2)\\\\[/tex]

  [tex]=\frac{22}{7} (20.25-6.25) \\\\ =\frac{22}{7} (14) \\\\=22 \times 2 \\\\ =44 \ m^2[/tex]

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