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Question Number 171677 by cherokeesay last updated on 19/Jun/22

Answered by mr W last updated on 19/Jun/22

$$R=2r$$$$rectanglea\times bwithb=2r$$$$a=\sqrt{{(r+R)}^2-r^2}=2\sqrt{2}r$$$$shadedarea=ab-\frac{\pi r^2}{2}-\frac{\pi R^2}{4}=ab-\frac{3\pi r^2}{2}$$$$\mathrm{\%}=1-\frac{3\pi r^2}{2ab}=1-\frac{3\pi r^2}{2\times 2r\times 2\sqrt{2}r}$$$$=1-\frac{3\pi }{8\sqrt{2}}=17\mathrm{\%}$$

Commented by Tawa11 last updated on 19/Jun/22

$$\mathrm{Great}\mathrm{sir}$$

Commented by cherokeesay last updated on 19/Jun/22

$$thankyousir!$$

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