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a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.

a circle is placed in a square with a side length of 6yd as shown below Find the area of the shaded region Use the value 314 for and do not round your answer class=

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Answer:

7.74 yd²

Step-by-step explanation:

  • Area (shaded) = Area (square) - Area (circle)
  • Area (shaded) = 6 x 6 - 3.14 x 3 x 3
  • [ Note : radius of circle = 1/2 of the side of the square]
  • Area (shaded) = 36 - 28.26
  • Area (shaded) = 7.74 yd²
semsee45

Answer:

7.74 yd²

Step-by-step explanation:

The shaded area can be calculated by subtracting the area of the circle from the area of the square.

Given:

  • side length of square = 6 yd
  • radius of circle = half of side length = 3 yd
  • π = 3.14

Area of the square = side length × side length

                               = 6 × 6

                               = 36 yd²

Area of the circle = πr²

                             = 3.14 × 3²

                             = 28.26 yd²

Shaded area = area of square - area of circle

                      = 36 - 28.26

                      = 7.74 yd²

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