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In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design (Shaded region). [Use π = 22/7]

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Radius (r) of circle = 32 cm

AD is the median of ΔABC.

OA=2/3AD = 32

AD=48 cm

In ΔABD,

AB2 = AD2 + BD2

Area of equilateral triangle, 

Area of circle = πr2

Area of design = Area of circle − Area of ΔABC

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