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ABCDEF is any regular hexagon with different vertices A,B,C,D,E and F as the centresnof circles with same radius 'r' are drawn.find the area of the shaded region.

area of the shaded region = area of the hexagon - area of the circle

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let number of sides is n.

n*each angle=(n-2)*180

6*each angle=4*180

each angle=120

area of 6 shaded region=6*120/360*pir2

  =2pir2

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refer to RS Agarwal , aalam thethi
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6(area of circle -area of sector with angle of 120 degrees )
6(pi r square - 120/360 pi r square)
 that gives 4 pi r square 
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where is the diagram
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Area of shaded region

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Thumbs up pls
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Thumbs upp ... Gud luck for examss

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It is good I think best of luck

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Hope it will help u to understand the problem .....

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Zaid Hussaini's answer is correct people...
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Here is the answer Sum of all interior angles=2*6-4 * 90° = 720° each angle=720°/6 = 120° area of each sector = 120 /360* pi r
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Here is ur answer

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This is the answer

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