## Centroid of a C-Shape

1. The problem statement, all variables and given/known data

http://prntscr.com/fcbm8

Find the centroid - All dimensions are in mm

2. Relevant equations

xbar = (A1X1+A2X2) / (A1+A2)

Similarly for Ybar I assume

3. The attempt at a solution

I got the y co-ordinate to be 20.428mm, and would assume that the x coordinate would be 5mm.

Is this right?
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 You can divide the shape into three rectangular parts several different ways but I used two vertical lines in the obvious places. I assumed the origin is in the bottom left corner. xbar = (A1X1+A2X2+A3X3) / (A1+A2+A3) = (700*5 + 800*30 +400*30) / (700+800+400) = 20.789 ybar = (A1Y1+A2Y2+A3Y3) / (A1+A2+A3) = (700*35 + 800*10 + 400*65) / (700+800+400) = 30.789 Best show your working as my answer is quite different.
 This is what confused me, does this mean the centroid is not on the shape itself?

## Centroid of a C-Shape

In this case yes. Where would the centroid of a doughnut be?

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