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 A square with sides of length $6 \mathrm{~cm} $ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. 

The area of the shaded region is_______ $\mathrm{cm}^2.$

  1. $6 \pi$
  2. $18$
  3. $20$
  4. $9 \pi$
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