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Locate the centroid of shaded area.
written 8.4 years ago by gravatar for teamques10 teamques10 ★ 68k •   modified 4.5 years ago

enter image description here
engineering mechanics
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written 8.4 years ago by gravatar for teamques10 teamques10 ★ 68k

The centroid of shaded area can be obtained

enter image description here

By taking quarter circle of radius 20 & subtracting Semicircle of radius 10 form it.

enter image description here

Now, $X = (\sum A_i x_i)/( \sum A)= 1096.42/157.08 = 6.98 cm \\ Y = (\sum A_i y_i)/( \sum A)= 2001.2/157.08 = 12.74 cm $

Centroid of shaded region is $(6.98, 12.74) $ cm

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