What Is the Area of This Complex Shape?

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To determine the area of the complex shape, first identify the arc as part of a circle and calculate the angle alpha from the provided diagram. Next, derive angle beta, which will help in calculating the area of the circular segment. The total area can be found by adding the area of the triangle to the circular segment area. Utilizing symmetry can simplify the calculation of the total area. This method provides a structured approach to solving the physics problem.
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hi guys I'm doing a physics problem and it requires me to know the area of the following shape:

http://img.photobucket.com/albums/v89/p3rf3ct4u/a.jpg"

any help would be greatly appreciated!
 
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Welcome to PF.

I think the problem could be solved as follows:

Assuming the arc is a part of a circle (which is sort of implied by the picture), first calculate the angle \alpha in my attached diagram. Then you can also find \beta and from that you can get the area of the circle segment. Then you can find the area of the total piece (by adding the triangle part) and use symmetry to find the total area.
 

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