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  • 30-03-2021
  • Mathematics
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The perimeter of the square is 64 inches. What is the perimeter of the shaded region?

The perimeter of the square is 64 inches What is the perimeter of the shaded region class=

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isaacwb isaacwb
  • 30-03-2021

Answer:

54.94 inches

Step-by-step explanation:

First you need to find the radius of the semi-circles within the square.

You find this by dividing the perimeter by 8

64/8 = 8

now use the formula πr^2 to find the area of the semi circle

π8^2 = 201.06

Now find the total area of the square and subtract it from the area of the two semi circles to find the shaded region

16*16 = 256

256-201.06 = 54.94

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