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Calling all mathematicians! Can you answer this question?

You are not allowed a calculator and have between 6-8 minutes to answer it

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helenS36-40, F
Just a guess, I really didn't calculate, but I think the middle circle is divided into three equal parts. If its radius is given by [i]r[/i], then the green area should be 蟺*r*r/3
Or maybe not? 馃槓
SomeMichGuyM
@helenS ...