Respuesta :

jaimemenendezalvarez

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]