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Q.

 In the given figure, ABCD is a rectangle inscribed in a circle, then the area of the shaded region is (use  π=3.14)

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a

8.63 cm2

b

19.63 cm2

c

7.63 cm2

d

12 cm2

answer is C.

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Detailed Solution

Given length =4cm, Breadth =3cm

    diagonal of the rectangle =

  Diameter of the circle =42+32

 =16+9=25=5cm

    The radius of the circle =52=2.5cm

    The area of the circle =π×(2.5)2

   3.14×6.25=19.63cm2

  The area of rectangle =4×3=12cm2

   The area of the shaded region = Area of the circle – Area of the rectangle.

   19.6312=7.63cm2

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 In the given figure, ABCD is a rectangle inscribed in a circle, then the area of the shaded region is (use  π=3.14)