Which shapes would I use to figure out the total surface area of this composite shape?

mathfre22

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Apr 14, 2020
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I am currently working on a problem where I have to figure out the formula(s) to find the total surface area of this composite figure. I have to find the individual areas of the shapes in the figure but I am having a hard time figuring out the shapes. I posted the composite figure and the answers that I already picked for the shapes. Can someone please tell me what the shapes are?

Here is the composite figure:

composite figure .png

Here is the shapes question that I tried answering:

composite figure shapes question.png
 
Let's consider a simpler example: perimeter of a half circle. What basic shapes are involved here? How does their perimeter/length contribute to the perimeter of a half circle?
 
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