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Find the exact area of each shaded region

Find the exact area of each shaded region-example-1

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\bf \textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} R=larger\\ \qquad radius\\ r=smaller\\ \qquad radius\\[-0.5em] \hrulefill\\ R=12\\ r=7 \end{cases}\implies A=\pi (12^2-7^2) \implies A=95\pi

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