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In a circular table cover of radius 32cm, a design is formed leaving an equilateral triangle ABC as shown in figure. Find the area of shaded region.

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In a circular table cover of radius 32cm, a design is formed leaving an equilateral triangle ABC as shown in figure. Find the area of shaded region.
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`(ODD)/(OA)=cos30`
`AD=sqrt3/2*32=16sqrt3`
`AB=32sqrt3 cm`
Shaded regio=`pi(32)^2-sqrt3/4(32)^2*3`
`=(32)^2(pi-3sqrt3/4)cm^2`.
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