The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part.

The following three shapes are based only on squares semicircles and quarter circles Find the perimeter and the area of each shaded part class=

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The perimeter of the shaded part is: 25.1 cm.

The area of the shaded part is: 36.6 cm².

How to Find the Perimeter and Area of the Shaded Part?

Area = Area of square - 2(area of square - area of quarter circle) = s² - 2(s² - 1/4πr²).

Parameters given are:

  • s = 8 cm
  • r = 8 cm

Plug in the values into the equation

Area = 8² - 2(8² - 1/4π(8²)).

Area = 64 - 2(64 - 50.3)

Area = 36.6 cm²

Perimeter = 2(perimeter of quarter circle) = 2(1/4(2πr)) = 2(1/4(2π8)) = 25.1 cm

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