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Find the area of the shaded region in Fi...

Find the area of the shaded region in Fig. 12.22, where a circular arc of radius `6` cm has been drawn with vertex O of an equilateral triangle OAB of side `12` cm as centre .

Text Solution

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area(shaded)=area(OAB)+area(major sector)
=`sqrt3/4*r^2+theta/360pir^2`
=`sqrt3/4 12^2+300/360*22/7*6^2`
=`36sqrt3+660/7cm^2`
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