A square with sides of length 6 cm is given. The boundary of the shaded region…

GATE · 2023 · EE · General AptitudeGATE · 2023 · ES · General AptitudeGATE · 2023 · XH · General Aptitude

A square with sides of length 6 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 _______ cm2\mathrm{cm}^{2}.

A square with a horizontal double-ended dimension arrow above its top side labelled 6 cm. Two semicircles lie inward within the square: one has the left side as its diameter and bulges rightward, and the other has the bottom side as its diameter and bulges upward. Their overlap is a white lens from the bottom-left corner to the square center. The portions inside exactly one semicircle are grey; the upper-right region outside both is white. An arrow labelled 3 cm runs diagonally upward and rightward from the midpoint of the bottom side to the arc of the bottom-diameter semicircle.
  1. A.

    6π6\pi

  2. B.

    18

  3. C.

    20

  4. D.

    9π9\pi

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