Respuesta :

Answer:

42[tex]cm^{2}[/tex]

Step-by-step explanation:

area of the square=14*14(l*w)

                              =196 [tex]cm^{2}[/tex]

radius=14/2

         =7 cm

area of the circle=[tex]\pi r^{2}[/tex]

                           =[tex]\frac{22}{7}[/tex]*7*7

                          =154 [tex]cm^{2}[/tex]

area of the shaded part =196-154

                                        = 42[tex]cm^{2}[/tex]

Area

Area of a square

The formula in finding the area of a square is [tex] \tt A = {s}^{2} [/tex]

  • [tex] \tt A = {s}^{2} [/tex]
  • [tex] \tt A = {14cm}^{2} [/tex]
  • [tex] \tt A = {196cm}^{2}[/tex]

Area of a circle

The formula in finding the area of a circle is [tex] \tt A = \pi r^2[/tex]

  • [tex] \tt A = \pi r^2[/tex]
  • [tex]\tt A = 3.14\times {7cm^2}[/tex]
  • [tex] \tt A = 3.14 \times 49cm[/tex]
  • [tex] \tt A = {153.86cm^2}[/tex]

Area of a shaded region

  • [tex]\tt A=A-A[/tex]
  • [tex] \tt A= {196cm}^{2}- {153.86cm^2}[/tex]
  • [tex]\tt A= {42.14cm}^{2}[/tex]

Therefore, the area of the composite figure is 42.14cm²

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