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Find Centroid of shaded area with reference to X and Y axes.
1 Answer
written 3.0 years ago by |
Part | $A_i \ \ \ (cm^2)$ | $x_i\ \ \ (cm)$ | $y_i \ \ \ (cm)$ | $A_ix_i\ \ (cm^3)$ | $A_iy_i\ \ (cm^3)$ |
---|---|---|---|---|---|
Square ABCD | $20\times 20=400\ \ cm^2$ | $=\dfrac{20}{2}=10\ cm$ | $=\dfrac{20}{2}=10\ cm$ | 4000 | 4000 |
Quarter Circle | $-100\pi $ | $\dfrac{4\times R}{3\pi }=\dfrac{4\times20}{3\pi }=8.488cm$ | $R-\dfrac{4\times R}{3\pi }=20-\dfrac{4\times 20}{3\pi }=11.512 \ cm$ | -2666.58 | -3616.60 … |