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ABCD Is a Square Park Divided Into Four Equal Square Parks

ABCD  is a square park divided into four equal square parks as shown figure. Semicircular flowerkare made as shown by the shaded region. Find the area of the flower beds.

Answer

The figure such as drawn below shows a graphical representation of the question. In this figure, one square consisting of four equal squares are being drawn. The four different squares were obtained by dividing the square into four equal squares. It follows drawing semi-circle in four different squares. The shaded regions in each one of the semi-circles represent the flowerbeds. The side of the square is ‘7’ cm. each.

 

Hence,

The radius = 7/2 cm.

      = 3.5 cm.

 

Area =?

Since the area of a circle of radius ‘r' is 2r

Hence, the area of a semi-circle is = ½2r

Therefore, Area = 4×22/7×7/2×7/2×1/2

               = 77 cm2

 

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