Find the area of the shaded part, if the diameter of the four circles are the same which equal to 6 cm.

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   Step-by-step explanation:

   Since, Length of AB, BC and CD are equal.

   Radius of circle =6cm

   Now, AD=2×6=12cm

   ⇒AB+BC+CD=12

   ⇒3AB=12

   ⇒AB=

   3

   12

   ⇒AB=4cm

   ⇒AB=BC=CD=4cm

   Radius of semicircle AB=2cm

   Radius of semicircle BC=4cm

   Radius of semicircle AD=6cm

   Area of the shaded region = Area of semicircle (AB+AD) − Area of semicircle (BD)

   ⇒ Area of shaded region =0.5π(2

   2

   +6

   2

   )−0.5π(4)

   2

   ⇒ Area of shaded region =0.6π(4+36)−0.5π×16

   ⇒ Area of shaded region =20π−8π

   ⇒ Area of shaded region =12πcm

   2

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