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Find centroid of shaded area.
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Sr. No. Part Area X coordindate of C.G (x1) Y coordinate of C.G (y1) Ax1 Ay1
1 Rectangle l=200, b=100 $A=l\times b =200 \times100=20000$ $\dfrac{l}{2} = \dfrac{200}{2}= 100$ $\dfrac {b}{2} = \dfrac{100}{2} = 50$ $20000 \times 100$= 2000000 $20000 \times 50$ = 1000000
2 Triangle b=60, h=50 $0.5\times b\times h$
$0.5\times 60 \times 50$= 1500 $2\times \dfrac{b}{3}$= $2 \times 60 /3$ = 40 $100+\dfrac{h}{3} = 100+\dfrac{50}{3}$
=116.67 $1500 \times 40$ = 60000 $1500 \times 116.67$= 175005
3 Semicircle radius (r)=50 $-0.5\times\pi\times r^2$
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