- #1

Nova_Chr0n0

- 16

- 3

- Homework Statement
- Locate the centroid (x̄,ȳ) of the shaded area.

- Relevant Equations
- Formulas for Centroid of Composite Bodies

The figure and formulas is shown above. My strategy of cutting the areas/shapes is shown below:

Area 1 = Area of Triangle

Area 2 = Area of the square - Area of the quarter circle

Area 3 = Area of the larger quarter circle - Area of the smaller quarter circle

Computing for the areas, I got:

Now I will solve for ȳ

Now my problem is, when I've tried to search for the answers in the internet, ȳ = 1.386 or 1.39 inches. I've got the x̄ right which is x̄=-1.175 or -1.18 inches. I cannot find my mistake here, can someone enlighten me? The solutions I've found on the internet used this cutted areas.