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Please step-by-step help me how much of a circle is shaded

Please step-by-step help me how much of a circle is shaded-example-1

1 Answer

6 votes

The given data is ratio from the the total are of circle is 1 .

let the shaded area is x then:

All area is equal to one.


\begin{gathered} (1)/(2)+(2)/(9)+x=1 \\ (9+4)/(18)+x=1 \\ (13)/(18)+x=1 \\ x=1-(13)/(18) \\ x=(18-13)/(18) \\ x=(5)/(18) \end{gathered}

So area of shaded region is


(5)/(18)

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User Yergo
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