Respuesta :

Answer:

7.722 cm^2

Step-by-step explanation:

Step 1: Find the area of the square.

  • Area of square = s^2, where s = side
  • 6^2 = 36 cm^2

Step 2: Find the area of the circle.

  • We are given the diameter of the circle as 6 cm, so the radius must be 3 cm.
  • Area of circle is [tex]\pi r^2[/tex], so now we plug in and simplify.
  • [tex]3.142 * 3^2[/tex]
  • [tex]3.142 * 9[/tex]
  • [tex]28.278[/tex]

Step 3: Subtract area of circle from area of square.

  • [tex]36 - 28.278[/tex]
  • [tex]7.722[/tex]

Therefore, the area of the shaded region is 7.722 cm^2.

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