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Question

Calculate the area of shaded part of the above figure.
565448_69438f4d1d924fb3a2a52b592335463d.png

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Solution

Shaded Area = Area of rectangle AGJF+ Area of rectangle HCDI+ Area of semi circular ring ABCHG+ Area of semicircular ring DEFJI

Area of rectangle AGJF=25×3.4=85 m2.

Area of rectangle HCDI=25×3.4=85 m2.

Area of a ring ABCHG=π2(R2r2)

=227×2[(9.55)2(6.15)2]

=83.88 m2

Area of ring DEFJI=π2(R2r2)

=227×2[(9.22)2(6.15)2]

=83.88 m2

Area of shaded region=85+85+2×83.88
=(170+167.76)
=337.76 m2

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