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Question

In the given figure.APB and CQD are semicircles of diameters 7cm each. White ARC and BSD are semicircles of diameters 14cm each find the perimeter and area of the shaded region. (π=227)
1398935_56ded5f155cf4491b1f0e34cb0270b43.jpg

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Solution

The radius of semi circle ARC is 7cm

The radius of semi circle APis3.5cm

The perimeter of curve is given as ARC+CQD+DSB+APB227×7+227×3.5+227×3.5+227×7227(21)=66cm

The area is given as ar(ARC)ar(APB)+ar(BSD)ar(CQD)227×72227×3.52+227×72227×3.52227×(49+4912.2512.25)=227×73.522×10.5=231cm2



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