sdeibyssocrates
sdeibyssocrates sdeibyssocrates
  • 19-06-2020
  • Mathematics
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la suma de la longitud de una semicircunferencia y su diametro es 4(pi+2)cm . determine el arrea del circulo

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jaimemenendezalvarez
jaimemenendezalvarez jaimemenendezalvarez
  • 19-06-2020

Answer: [tex]16\pi \;cm^2[/tex]

Step-by-step explanation:

La longitud de una semicircunferencia es [tex]l=\pi r[/tex]

[tex]\pi r+2r=4(\pi+2)\\r(\pi+2)=4(\pi+2)\\r = 4\frac{\pi+2}{\pi+2} \\r=4[/tex]

[tex]A = \pi r^2 = \pi (4)^2=16\pi[/tex]

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