Find the Area of Shaded Region bounded between two semicircles drawn on side of length 28cm of a rectangle as diameter. The other side of the rectangle is 14 cm long. Semi-Circles Rectangle Shaded Area

Explanation

area of sector=`theta/360^o*pir^2=1/6pir^2`

area of segment(1)= area of sector - area of triangle

(1)=`(pir^2)/6+(pir^2)/6+sqrt3/4r^2`

(1)=`(pir^2)/3-sqrt3/4r^2`

`(1)+(2)=1/4pir^2`

`(2)=(pir^2)/4-(pir^2)/3+sqrt3/4r^2`

`(2)=sqrt3/4r^2-(pir^2)/12`

`(1)+(2)+(2)+(3)=r^2`

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