Respuesta :

[tex] \huge\mathrm{Answer : }[/tex]

Area of square :

[tex] \large \boxed{ \mathrm{side {}^{2} }}[/tex]

  • [tex] {11}^{2} [/tex]

  • [tex]121 \: m {}^{2} [/tex]

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Radius of each quarter circle is [tex]\dfrac{11}{2}m[/tex]

Area of each quarter circle :

[tex] \boxed{\dfrac{1}{4} \times \pi {r}^{2} }[/tex]

Area of all four quarter circles :

  • [tex]4 \times \dfrac{1}{4} \times \pi{r}^{2} [/tex]

  • [tex]3.14 \times \dfrac{11}{2} \times \dfrac{11}{2} [/tex]

  • [tex]94.985 \: \: m {}^{2} [/tex]

_____________________________

Area of shaded region :

[tex] \small \mathrm{area \:( square) \: \: - \: \: area \: ( quarter \: circles)}[/tex]

  • [tex]121 - 94.985[/tex]

  • [tex]26.015 \: \: m {}^{2} [/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

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