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its 18pi + ?

i think 24 pi but not sure dont enter that its just a suggestion
but its 18pi + something

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@Parsa
A detailed solution with comments using the Calculus and your approach is attached.
You might recheck the dimensions on your triangle. The one dimensioned 6 on one of sides is actually 3*radical 3.
The solution first posted by me as 78.6593 above is correct and comes from a general formula for a circle's segment area. Both of the attached solutions support 78.6593 as the numerical answer and the following symbolic answer:\[30 \pi -9 \sqrt{3} \]

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